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Finding the Third Proportional to 20,468.25 and 27,781.88

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Solution

The third proportional to 20,468.25 and 27,781.88 is: 37,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.25 : 27,781.88 = 27,781.88 : x
  2. Step 2: Convert to fraction form
    20,468.25/27,781.88 = 27,781.88/x
  3. Step 3: Cross multiply
    20,468.25x = 27,781.88 × 27,781.88
  4. Step 4: Simplify right side
    20,468.25x = 771,832,578.52
  5. Step 5: Solve for x
    x = 771,832,578.52/20,468.25
  6. Step 6: Final answer
    x = 37,708.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.