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Finding the Third Proportional to 31,838 and 47,744

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Solution

The third proportional to 31,838 and 47,744 is: 71,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838 : 47,744 = 47,744 : x
  2. Step 2: Convert to fraction form
    31,838/47,744 = 47,744/x
  3. Step 3: Cross multiply
    31,838x = 47,744 × 47,744
  4. Step 4: Simplify right side
    31,838x = 2,279,489,536
  5. Step 5: Solve for x
    x = 2,279,489,536/31,838
  6. Step 6: Final answer
    x = 71,596.51

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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.