I have 2 answers to this question. I gave him the first and I'll tell you the second.
Chazal say [and the Rambam ruled] that the number of students in a class should not exceed 25. So officially the question of how to keep a kesher with so many talmidim shouldn't start.
Chazal ALSO wanted a personal kesher between Rebbe and Talmid. Why then do yeshivos not abide by this halacha and have larger classes??
When I raise enough money to start my own yeshiva I will try to keep to it if I can but in the meantime I can't answer that question for anybody else. I am sure they have an explanation. Probably economic. Not enough money to hire more Rabbeim.