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Finding the Third Proportional to 31,438 and 68,408

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Solution

The third proportional to 31,438 and 68,408 is: 148,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438 : 68,408 = 68,408 : x
  2. Step 2: Convert to fraction form
    31,438/68,408 = 68,408/x
  3. Step 3: Cross multiply
    31,438x = 68,408 × 68,408
  4. Step 4: Simplify right side
    31,438x = 4,679,654,464
  5. Step 5: Solve for x
    x = 4,679,654,464/31,438
  6. Step 6: Final answer
    x = 148,853.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.