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Finding the Third Proportional to 20,023.13 and 27,151.13

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Solution

The third proportional to 20,023.13 and 27,151.13 is: 36,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.13 : 27,151.13 = 27,151.13 : x
  2. Step 2: Convert to fraction form
    20,023.13/27,151.13 = 27,151.13/x
  3. Step 3: Cross multiply
    20,023.13x = 27,151.13 × 27,151.13
  4. Step 4: Simplify right side
    20,023.13x = 737,183,588.77
  5. Step 5: Solve for x
    x = 737,183,588.77/20,023.13
  6. Step 6: Final answer
    x = 36,816.61

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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.