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Finding the Third Proportional to 31,469 and 69,931

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Solution

The third proportional to 31,469 and 69,931 is: 155,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469 : 69,931 = 69,931 : x
  2. Step 2: Convert to fraction form
    31,469/69,931 = 69,931/x
  3. Step 3: Cross multiply
    31,469x = 69,931 × 69,931
  4. Step 4: Simplify right side
    31,469x = 4,890,344,761
  5. Step 5: Solve for x
    x = 4,890,344,761/31,469
  6. Step 6: Final answer
    x = 155,401.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.