Question

show that 48,60,75 are in continued proportion​

Answer 1

Answer:

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Step-by-step explanation:

To show : 48,60,75 are in continued proportion ?

Solution :

Let a,b,c are in continued proportion then,

a:b :: b:c

i.e. a:b = b:c

or  $\frac{a}{b}=\frac{b}{c}$

Cross multiply,

$ac=b^2$

So, Condition of continued proportion is $ac=b^2$

Now, Take a=48, b=60 and c=75

$48\times 75=(60)^2$

3600=3600

Condition satisfied.

Therefore, 48,60,75 are in continued proportion.