which number should be subtracted from each of the numbers 13, 25 ,55 so that resulting number would be in continued proportion??
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(25-x)/(13-x) = (55-x)/(25-x)
Cross multiplying gives
625–50x+x^2 = 715–68x+x^2
18x=90
X=5
And indeed subtracting 5 from the original numbers gives: 8,20,50 which have constant ratio 2.5 (ie they are an geometric sequence)
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