Question

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

Answer 1

Answer:

48,60,75 are in continued proportion.

Step-by-step explanation:

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

Solution :

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

i.e.  

or  

Cross multiply,

Condition of continued proportion is  

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

Condition satisfied.

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

Extra step-by-step explanation just in case:

In continued proportion, middle terms are equal.

Now,

48:60::60:75

The multiplication of the extreme no.s and mean no.s must be equal.

So,

48*75=60*60

3600=3600

These products are eqaul, then these no.s are in a continued proportion.

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