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Finding the Third Proportional to 31,988 and 67,667

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Solution

The third proportional to 31,988 and 67,667 is: 143,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988 : 67,667 = 67,667 : x
  2. Step 2: Convert to fraction form
    31,988/67,667 = 67,667/x
  3. Step 3: Cross multiply
    31,988x = 67,667 × 67,667
  4. Step 4: Simplify right side
    31,988x = 4,578,822,889
  5. Step 5: Solve for x
    x = 4,578,822,889/31,988
  6. Step 6: Final answer
    x = 143,141.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.