Math, asked by sagniksaha682, 17 days ago

third proportional of 2/3 and 4/5​

Answers

Answered by bk738909
2

Step-by-step explanation:

26 +7√3 is the answer of thes questions

Attachments:
Answered by gausia8080
0

Given,

\frac{2}{3} and \frac{4}{5}

We have to find the third proportional

Let third proportional be x

Proportional format

a:b::b:c

Here, c is the third proportion

So,

\frac{2}{3}:\frac{4}{5}::\frac{4}{5}:x

\frac{\frac{2}{3} }{\frac{4}{5} } =\frac{\frac{4}{5} }{x}

\frac{2}{3}\times\frac{5}{4}=\frac{\frac{4}{5} }{x}

\frac{5}{6}=\frac{\frac{4}{5} }{x}

\frac{5}{6}x=\frac{4}{5}

x=\frac{4}{5}\times \frac{6}{5}

x=\frac{24}{25}

Therefore, the third proportional of \frac{2}{3} and \frac{4}{5} is \frac{24}{25}.

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