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Finding the Third Proportional to 20,024 and 31,136

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Solution

The third proportional to 20,024 and 31,136 is: 48,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 31,136 = 31,136 : x
  2. Step 2: Convert to fraction form
    20,024/31,136 = 31,136/x
  3. Step 3: Cross multiply
    20,024x = 31,136 × 31,136
  4. Step 4: Simplify right side
    20,024x = 969,450,496
  5. Step 5: Solve for x
    x = 969,450,496/20,024
  6. Step 6: Final answer
    x = 48,414.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.