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Finding the Third Proportional to 31,754 and 47,474

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Solution

The third proportional to 31,754 and 47,474 is: 70,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754 : 47,474 = 47,474 : x
  2. Step 2: Convert to fraction form
    31,754/47,474 = 47,474/x
  3. Step 3: Cross multiply
    31,754x = 47,474 × 47,474
  4. Step 4: Simplify right side
    31,754x = 2,253,780,676
  5. Step 5: Solve for x
    x = 2,253,780,676/31,754
  6. Step 6: Final answer
    x = 70,976.28

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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.