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Finding the Third Proportional to 19,843.25 and 27,022.75

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Solution

The third proportional to 19,843.25 and 27,022.75 is: 36,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.25 : 27,022.75 = 27,022.75 : x
  2. Step 2: Convert to fraction form
    19,843.25/27,022.75 = 27,022.75/x
  3. Step 3: Cross multiply
    19,843.25x = 27,022.75 × 27,022.75
  4. Step 4: Simplify right side
    19,843.25x = 730,229,017.56
  5. Step 5: Solve for x
    x = 730,229,017.56/19,843.25
  6. Step 6: Final answer
    x = 36,799.87

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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.