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Finding the Third Proportional to 31,474 and 63,860

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Solution

The third proportional to 31,474 and 63,860 is: 129,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474 : 63,860 = 63,860 : x
  2. Step 2: Convert to fraction form
    31,474/63,860 = 63,860/x
  3. Step 3: Cross multiply
    31,474x = 63,860 × 63,860
  4. Step 4: Simplify right side
    31,474x = 4,078,099,600
  5. Step 5: Solve for x
    x = 4,078,099,600/31,474
  6. Step 6: Final answer
    x = 129,570.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.