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Finding the Third Proportional to 20,366 and 27,032

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Solution

The third proportional to 20,366 and 27,032 is: 35,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,366 : 27,032 = 27,032 : x
  2. Step 2: Convert to fraction form
    20,366/27,032 = 27,032/x
  3. Step 3: Cross multiply
    20,366x = 27,032 × 27,032
  4. Step 4: Simplify right side
    20,366x = 730,729,024
  5. Step 5: Solve for x
    x = 730,729,024/20,366
  6. Step 6: Final answer
    x = 35,879.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.