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Finding the Third Proportional to 31,241 and 67,471

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Solution

The third proportional to 31,241 and 67,471 is: 145,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241 : 67,471 = 67,471 : x
  2. Step 2: Convert to fraction form
    31,241/67,471 = 67,471/x
  3. Step 3: Cross multiply
    31,241x = 67,471 × 67,471
  4. Step 4: Simplify right side
    31,241x = 4,552,335,841
  5. Step 5: Solve for x
    x = 4,552,335,841/31,241
  6. Step 6: Final answer
    x = 145,716.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.