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Finding the Third Proportional to 39,717.50 and 58,239.75

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Solution

The third proportional to 39,717.50 and 58,239.75 is: 85,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,717.50 : 58,239.75 = 58,239.75 : x
  2. Step 2: Convert to fraction form
    39,717.50/58,239.75 = 58,239.75/x
  3. Step 3: Cross multiply
    39,717.50x = 58,239.75 × 58,239.75
  4. Step 4: Simplify right side
    39,717.50x = 3,391,868,480.06
  5. Step 5: Solve for x
    x = 3,391,868,480.06/39,717.50
  6. Step 6: Final answer
    x = 85,399.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.