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Finding the Third Proportional to 40,941 and 63,234

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Solution

The third proportional to 40,941 and 63,234 is: 97,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 63,234 = 63,234 : x
  2. Step 2: Convert to fraction form
    40,941/63,234 = 63,234/x
  3. Step 3: Cross multiply
    40,941x = 63,234 × 63,234
  4. Step 4: Simplify right side
    40,941x = 3,998,538,756
  5. Step 5: Solve for x
    x = 3,998,538,756/40,941
  6. Step 6: Final answer
    x = 97,665.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.