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Finding the Third Proportional to 20,439 and 24,175.13

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Solution

The third proportional to 20,439 and 24,175.13 is: 28,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 24,175.13 = 24,175.13 : x
  2. Step 2: Convert to fraction form
    20,439/24,175.13 = 24,175.13/x
  3. Step 3: Cross multiply
    20,439x = 24,175.13 × 24,175.13
  4. Step 4: Simplify right side
    20,439x = 584,436,668.77
  5. Step 5: Solve for x
    x = 584,436,668.77/20,439
  6. Step 6: Final answer
    x = 28,594.19

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.