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Finding the Third Proportional to 31,722 and 47,493

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Solution

The third proportional to 31,722 and 47,493 is: 71,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722 : 47,493 = 47,493 : x
  2. Step 2: Convert to fraction form
    31,722/47,493 = 47,493/x
  3. Step 3: Cross multiply
    31,722x = 47,493 × 47,493
  4. Step 4: Simplify right side
    31,722x = 2,255,585,049
  5. Step 5: Solve for x
    x = 2,255,585,049/31,722
  6. Step 6: Final answer
    x = 71,104.76

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Why These Related Problems?

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