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Finding the Third Proportional to 41,982 and 63,378

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Solution

The third proportional to 41,982 and 63,378 is: 95,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982 : 63,378 = 63,378 : x
  2. Step 2: Convert to fraction form
    41,982/63,378 = 63,378/x
  3. Step 3: Cross multiply
    41,982x = 63,378 × 63,378
  4. Step 4: Simplify right side
    41,982x = 4,016,770,884
  5. Step 5: Solve for x
    x = 4,016,770,884/41,982
  6. Step 6: Final answer
    x = 95,678.41

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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.