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Finding the Third Proportional to 40,291 and 61,325

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Solution

The third proportional to 40,291 and 61,325 is: 93,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 61,325 = 61,325 : x
  2. Step 2: Convert to fraction form
    40,291/61,325 = 61,325/x
  3. Step 3: Cross multiply
    40,291x = 61,325 × 61,325
  4. Step 4: Simplify right side
    40,291x = 3,760,755,625
  5. Step 5: Solve for x
    x = 3,760,755,625/40,291
  6. Step 6: Final answer
    x = 93,339.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.