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Finding the Third Proportional to 41,934 and 63,441

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Solution

The third proportional to 41,934 and 63,441 is: 95,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,934 : 63,441 = 63,441 : x
  2. Step 2: Convert to fraction form
    41,934/63,441 = 63,441/x
  3. Step 3: Cross multiply
    41,934x = 63,441 × 63,441
  4. Step 4: Simplify right side
    41,934x = 4,024,760,481
  5. Step 5: Solve for x
    x = 4,024,760,481/41,934
  6. Step 6: Final answer
    x = 95,978.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.