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Finding the Third Proportional to 39,502.69 and 55,648.90

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Solution

The third proportional to 39,502.69 and 55,648.90 is: 78,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.69 : 55,648.90 = 55,648.90 : x
  2. Step 2: Convert to fraction form
    39,502.69/55,648.90 = 55,648.90/x
  3. Step 3: Cross multiply
    39,502.69x = 55,648.90 × 55,648.90
  4. Step 4: Simplify right side
    39,502.69x = 3,096,799,897.31
  5. Step 5: Solve for x
    x = 3,096,799,897.31/39,502.69
  6. Step 6: Final answer
    x = 78,394.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.