Likutei Halakhot, Orach Chaim, Laws of Thanksgiving Blessings 1:2/ליקוטי הלכות·אורח חיים·הלכות ברכת הודאה א׳:ב׳

1And therefore the custom is that the Thanksgiving prayer takes place during Torah reading, in order that the speech be completed via Torah and prayer, which are the lines of truth that shine via the thanksgiving, and the fourfoldness of speech is perfected, as mentioned. For, via acknowledgment, the Thanksgiving, thereby the truth shines into the fourfoldness of speech via the three Names, which correspond to Torah, Prayer, and Matches, as mentioned. And therefore the Thanksgivings of four types of people have to be recited at the time of Torah and Prayer, namely during Torah reading, which is during prayer, as thereby shines the aspect of Torah and prayer, which are the aspect of the two names of truth, as mentioned. And also the aspect of matches and marital relations is accomplished by a minyan of ten, for “one must offer thanks giving in the presence of ten men,” and “wherever there are ten there is sanctity,” for there is no sanctity below ten. And when there is sanctity by means of Yud (ten) this is the aspect of Matches and Relations, the actual aspect of betrothal, for all the matches and betrothals are the aspect of drawing sanctity, the aspect of Yud/ten, into the aspect of Malkhuth, as is known. Hence via ten is made the aspect of matches, the aspect of betrothals, which is the aspect of the third name of Truth [Hashem] that shines into the fourfoldness of speech, as mentioned. It is also brought there in the aforementioned lesson, that speech is perfected by means of marital matches. For, “Ten measures of speech descended into the world; women got nine and the whole world, one.” And therefore one needs ten men to offer thanks in front of, corresponding to the ten aspects of speech that are perfected via the thanksgiving by means of marital matches. For, these ten measures of speech correspond to the ten aspects that are in speech, for speech is the aspect of Malkhuth which is made up of ten, as known, and corresponding to this there is the aspect of the ten measures of speech etc., and therefore by means of the ten mentioned above, the aspect of marital matches, the aspect of the ten parts of speech, shines, and the fourfold aspect of speech is perfected, as mentioned.