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Finding the Third Proportional to 47,414 and 63,624

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Solution

The third proportional to 47,414 and 63,624 is: 85,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 63,624 = 63,624 : x
  2. Step 2: Convert to fraction form
    47,414/63,624 = 63,624/x
  3. Step 3: Cross multiply
    47,414x = 63,624 × 63,624
  4. Step 4: Simplify right side
    47,414x = 4,048,013,376
  5. Step 5: Solve for x
    x = 4,048,013,376/47,414
  6. Step 6: Final answer
    x = 85,375.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.