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Finding the Third Proportional to 31,598 and 47,478

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Solution

The third proportional to 31,598 and 47,478 is: 71,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598 : 47,478 = 47,478 : x
  2. Step 2: Convert to fraction form
    31,598/47,478 = 47,478/x
  3. Step 3: Cross multiply
    31,598x = 47,478 × 47,478
  4. Step 4: Simplify right side
    31,598x = 2,254,160,484
  5. Step 5: Solve for x
    x = 2,254,160,484/31,598
  6. Step 6: Final answer
    x = 71,338.71

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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.