Respuesta :

Answer: 3:4

Step-by-step explanation: because the ratio of a :b is 2:3 which means b is 3 . And the ratio of a:c is 3 :4 which means c is 4.

And 3:4 is in simplest form .

Hope it helps.

Answer:

The required ratio is b:c = 9:8

Step-by-step explanation:

We are given:

The ratio a:b = 2:3

and the ratio a:c = 3:4

We need to find the ratio b:c

We are given a:b=2:3

We can write it as: [tex]\frac{a}{b}=\frac{2}{3}[/tex]

Finding value of a: [tex]\frac{a}{b}=\frac{2}{3}\\3a=2b\\a=\frac{2b}{3}[/tex]

Now, we have a:c = 3:4

We can write it as: [tex]\frac{a}{c}=\frac{3}{4}[/tex]

Putting value of a and finding b:c

[tex]\frac{a}{c}=\frac{3}{4}\\Put\:a=\frac{2b}{3}\\\frac{2b}{3}}\times \frac{1}{c}=\frac{3}{4} \\Finding\:value\:of\:b/c\\\frac{b}{c}=\frac{3\times 3}{4 \times 2}\\ \frac{b}{c}=\frac{9}{8}[/tex]

So, we get b/c = 9/8

We can write them in ratio as: b:c = 9:8

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