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Finding the Third Proportional to 39,830 and 59,720

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Solution

The third proportional to 39,830 and 59,720 is: 89,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830 : 59,720 = 59,720 : x
  2. Step 2: Convert to fraction form
    39,830/59,720 = 59,720/x
  3. Step 3: Cross multiply
    39,830x = 59,720 × 59,720
  4. Step 4: Simplify right side
    39,830x = 3,566,478,400
  5. Step 5: Solve for x
    x = 3,566,478,400/39,830
  6. Step 6: Final answer
    x = 89,542.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.