Finding the Third Proportional to 37,862 and 53,092
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Solution
The third proportional to 37,862 and 53,092 is: 74,448.27
Step by Step Solution
- Step 1: Write the proportion equation
37,862 : 53,092 = 53,092 : x - Step 2: Convert to fraction form
37,862/53,092 = 53,092/x - Step 3: Cross multiply
37,862x = 53,092 × 53,092 - Step 4: Simplify right side
37,862x = 2,818,760,464 - Step 5: Solve for x
x = 2,818,760,464/37,862 - Step 6: Final answer
x = 74,448.27
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.