Finding the Third Proportional to 49,572 and 70,956
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Solution
The third proportional to 49,572 and 70,956 is: 101,564.47
Step by Step Solution
- Step 1: Write the proportion equation
49,572 : 70,956 = 70,956 : x - Step 2: Convert to fraction form
49,572/70,956 = 70,956/x - Step 3: Cross multiply
49,572x = 70,956 × 70,956 - Step 4: Simplify right side
49,572x = 5,034,753,936 - Step 5: Solve for x
x = 5,034,753,936/49,572 - Step 6: Final answer
x = 101,564.47
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.