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Finding the Third Proportional to 31,687 and 69,422

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Solution

The third proportional to 31,687 and 69,422 is: 152,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687 : 69,422 = 69,422 : x
  2. Step 2: Convert to fraction form
    31,687/69,422 = 69,422/x
  3. Step 3: Cross multiply
    31,687x = 69,422 × 69,422
  4. Step 4: Simplify right side
    31,687x = 4,819,414,084
  5. Step 5: Solve for x
    x = 4,819,414,084/31,687
  6. Step 6: Final answer
    x = 152,094.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.