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Finding the Third Proportional to 20,002 and 31,376

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Solution

The third proportional to 20,002 and 31,376 is: 49,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 31,376 = 31,376 : x
  2. Step 2: Convert to fraction form
    20,002/31,376 = 31,376/x
  3. Step 3: Cross multiply
    20,002x = 31,376 × 31,376
  4. Step 4: Simplify right side
    20,002x = 984,453,376
  5. Step 5: Solve for x
    x = 984,453,376/20,002
  6. Step 6: Final answer
    x = 49,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.