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Finding the Third Proportional to 24,327 and 51,793

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Solution

The third proportional to 24,327 and 51,793 is: 110,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327 : 51,793 = 51,793 : x
  2. Step 2: Convert to fraction form
    24,327/51,793 = 51,793/x
  3. Step 3: Cross multiply
    24,327x = 51,793 × 51,793
  4. Step 4: Simplify right side
    24,327x = 2,682,514,849
  5. Step 5: Solve for x
    x = 2,682,514,849/24,327
  6. Step 6: Final answer
    x = 110,269.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.