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Finding the Third Proportional to 13,726.97 and 20,589.19

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Solution

The third proportional to 13,726.97 and 20,589.19 is: 30,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.97 : 20,589.19 = 20,589.19 : x
  2. Step 2: Convert to fraction form
    13,726.97/20,589.19 = 20,589.19/x
  3. Step 3: Cross multiply
    13,726.97x = 20,589.19 × 20,589.19
  4. Step 4: Simplify right side
    13,726.97x = 423,914,641.91
  5. Step 5: Solve for x
    x = 423,914,641.91/13,726.97
  6. Step 6: Final answer
    x = 30,881.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.