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Finding the Third Proportional to 20,131 and 24,377

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Solution

The third proportional to 20,131 and 24,377 is: 29,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131 : 24,377 = 24,377 : x
  2. Step 2: Convert to fraction form
    20,131/24,377 = 24,377/x
  3. Step 3: Cross multiply
    20,131x = 24,377 × 24,377
  4. Step 4: Simplify right side
    20,131x = 594,238,129
  5. Step 5: Solve for x
    x = 594,238,129/20,131
  6. Step 6: Final answer
    x = 29,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.