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Finding the Third Proportional to 41,761 and 64,634

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Solution

The third proportional to 41,761 and 64,634 is: 100,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,761 : 64,634 = 64,634 : x
  2. Step 2: Convert to fraction form
    41,761/64,634 = 64,634/x
  3. Step 3: Cross multiply
    41,761x = 64,634 × 64,634
  4. Step 4: Simplify right side
    41,761x = 4,177,553,956
  5. Step 5: Solve for x
    x = 4,177,553,956/41,761
  6. Step 6: Final answer
    x = 100,034.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.