Philip P. answered 05/03/15
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a/2 = b/3
3a/2 = b
b/3 = c/5
(3a/2)/3 = c/5
a/2 = c/5
5a/2 = c
a + b + c = a + 3a/2 + 5a/2 = 10a/2 = 5a