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Finding the Third Proportional to 17,744.38 and 27,470.75

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Solution

The third proportional to 17,744.38 and 27,470.75 is: 42,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.38 : 27,470.75 = 27,470.75 : x
  2. Step 2: Convert to fraction form
    17,744.38/27,470.75 = 27,470.75/x
  3. Step 3: Cross multiply
    17,744.38x = 27,470.75 × 27,470.75
  4. Step 4: Simplify right side
    17,744.38x = 754,642,105.56
  5. Step 5: Solve for x
    x = 754,642,105.56/17,744.38
  6. Step 6: Final answer
    x = 42,528.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.