SOLUTION: If 2 and 3 are two geometric means between m and n, find the values of m and n.

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Question 1039236: If 2 and 3 are two geometric means between m and n, find the values of m and n.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
m, 2, 3, n are in geometric progression
==> r+=+a%5B3%5D%2Fa%5B2%5D+=+3%2F2
==> a%5B4%5D%2Fa%5B3%5D+=+n%2F3+=+3%2F2 ==> highlight%28n+=+9%2F2%29
==> a%5B4%5D+=+m%2A%283%2F2%29%5E3+=+%2827m%29%2F8+=+9%2F2 ==> highlight%28m+=+4%2F3%29.