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Finding the Third Proportional to 27,138.38 and 55,593

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Solution

The third proportional to 27,138.38 and 55,593 is: 113,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.38 : 55,593 = 55,593 : x
  2. Step 2: Convert to fraction form
    27,138.38/55,593 = 55,593/x
  3. Step 3: Cross multiply
    27,138.38x = 55,593 × 55,593
  4. Step 4: Simplify right side
    27,138.38x = 3,090,581,649
  5. Step 5: Solve for x
    x = 3,090,581,649/27,138.38
  6. Step 6: Final answer
    x = 113,882.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.