Finding the Third Proportional to 49,451 and 76,712
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Solution
The third proportional to 49,451 and 76,712 is: 119,001.25
Step by Step Solution
- Step 1: Write the proportion equation
49,451 : 76,712 = 76,712 : x - Step 2: Convert to fraction form
49,451/76,712 = 76,712/x - Step 3: Cross multiply
49,451x = 76,712 × 76,712 - Step 4: Simplify right side
49,451x = 5,884,730,944 - Step 5: Solve for x
x = 5,884,730,944/49,451 - Step 6: Final answer
x = 119,001.25
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.