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Finding the Third Proportional to 41,474 and 63,747

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Solution

The third proportional to 41,474 and 63,747 is: 97,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474 : 63,747 = 63,747 : x
  2. Step 2: Convert to fraction form
    41,474/63,747 = 63,747/x
  3. Step 3: Cross multiply
    41,474x = 63,747 × 63,747
  4. Step 4: Simplify right side
    41,474x = 4,063,680,009
  5. Step 5: Solve for x
    x = 4,063,680,009/41,474
  6. Step 6: Final answer
    x = 97,981.39

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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.