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Finding the Third Proportional to 20,165.63 and 27,469.13

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Solution

The third proportional to 20,165.63 and 27,469.13 is: 37,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.63 : 27,469.13 = 27,469.13 : x
  2. Step 2: Convert to fraction form
    20,165.63/27,469.13 = 27,469.13/x
  3. Step 3: Cross multiply
    20,165.63x = 27,469.13 × 27,469.13
  4. Step 4: Simplify right side
    20,165.63x = 754,552,828.27
  5. Step 5: Solve for x
    x = 754,552,828.27/20,165.63
  6. Step 6: Final answer
    x = 37,417.78

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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.