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  1. Hace 5 días · Complete step by step answer: Let us first consider the value of b. It is given that a : b = 2 : 3 and b : c = 4 : 5. Thus, LCM of 3 and 4 is 12. Therefore, we need to multiply the first ratio by 4 and the second ratio by 3. $\Rightarrow $ a : b = 4 (2) : 4 (3) = 8 : 12. $\Rightarrow $ b : c = 3 (4) : 3 (5) = 12 : 15.