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Finding the Third Proportional to 39,721.50 and 59,042.25

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Solution

The third proportional to 39,721.50 and 59,042.25 is: 87,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,721.50 : 59,042.25 = 59,042.25 : x
  2. Step 2: Convert to fraction form
    39,721.50/59,042.25 = 59,042.25/x
  3. Step 3: Cross multiply
    39,721.50x = 59,042.25 × 59,042.25
  4. Step 4: Simplify right side
    39,721.50x = 3,485,987,285.06
  5. Step 5: Solve for x
    x = 3,485,987,285.06/39,721.50
  6. Step 6: Final answer
    x = 87,760.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.