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Finding the Third Proportional to 31,567 and 67,569

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Solution

The third proportional to 31,567 and 67,569 is: 144,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567 : 67,569 = 67,569 : x
  2. Step 2: Convert to fraction form
    31,567/67,569 = 67,569/x
  3. Step 3: Cross multiply
    31,567x = 67,569 × 67,569
  4. Step 4: Simplify right side
    31,567x = 4,565,569,761
  5. Step 5: Solve for x
    x = 4,565,569,761/31,567
  6. Step 6: Final answer
    x = 144,631.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.