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Finding the Third Proportional to 20,648 and 27,744

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Solution

The third proportional to 20,648 and 27,744 is: 37,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648 : 27,744 = 27,744 : x
  2. Step 2: Convert to fraction form
    20,648/27,744 = 27,744/x
  3. Step 3: Cross multiply
    20,648x = 27,744 × 27,744
  4. Step 4: Simplify right side
    20,648x = 769,729,536
  5. Step 5: Solve for x
    x = 769,729,536/20,648
  6. Step 6: Final answer
    x = 37,278.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.