continued proportion with example

If the first and second of the five numbers in continued proportion are 2 and 6. find fifth number.

If \( a, b, c, d \) are in continued proportion, prove that \[ 2 a+3 d: 3 a-4 d=2 a^{3}+3 b^{3}:...

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If a, b, c, d are in continued proportion, prove that: a:b+d =c^3:c^2d+ d^3.

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