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March 18th, 2013, 06:50 AM  #1 
Senior Member Joined: Feb 2013 Posts: 114 Thanks: 0  Ratio and Proportion I
If a,b,c,d are in continued proportion, prove that : After solving L.H.S I got : But after solving R.H.S I am getting ... Please help. 
March 18th, 2013, 09:35 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 16,954 Thanks: 1256 
As a/b = b/c and c/b = d/c, first square term of LHS = (a/c  b/c + a/b  c/b)² = (a/c  d/c)² = ((a  d)/c)². Similarly, the second square term of LHS = ((d  a)/b)². The rest is easy. 

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