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Finding the Third Proportional to 20,264 and 31,626

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Solution

The third proportional to 20,264 and 31,626 is: 49,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264 : 31,626 = 31,626 : x
  2. Step 2: Convert to fraction form
    20,264/31,626 = 31,626/x
  3. Step 3: Cross multiply
    20,264x = 31,626 × 31,626
  4. Step 4: Simplify right side
    20,264x = 1,000,203,876
  5. Step 5: Solve for x
    x = 1,000,203,876/20,264
  6. Step 6: Final answer
    x = 49,358.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.