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Finding the Third Proportional to 39,529.13 and 63,223.31

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Solution

The third proportional to 39,529.13 and 63,223.31 is: 101,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,529.13 : 63,223.31 = 63,223.31 : x
  2. Step 2: Convert to fraction form
    39,529.13/63,223.31 = 63,223.31/x
  3. Step 3: Cross multiply
    39,529.13x = 63,223.31 × 63,223.31
  4. Step 4: Simplify right side
    39,529.13x = 3,997,187,243.47
  5. Step 5: Solve for x
    x = 3,997,187,243.47/39,529.13
  6. Step 6: Final answer
    x = 101,120.05

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.