Finding the Third Proportional to 42,954 and 65,712
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Solution
The third proportional to 42,954 and 65,712 is: 100,527.70
Step by Step Solution
- Step 1: Write the proportion equation
42,954 : 65,712 = 65,712 : x - Step 2: Convert to fraction form
42,954/65,712 = 65,712/x - Step 3: Cross multiply
42,954x = 65,712 × 65,712 - Step 4: Simplify right side
42,954x = 4,318,066,944 - Step 5: Solve for x
x = 4,318,066,944/42,954 - Step 6: Final answer
x = 100,527.70
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.