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Finding the Third Proportional to 13,832.25 and 20,761.88

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Solution

The third proportional to 13,832.25 and 20,761.88 is: 31,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.25 : 20,761.88 = 20,761.88 : x
  2. Step 2: Convert to fraction form
    13,832.25/20,761.88 = 20,761.88/x
  3. Step 3: Cross multiply
    13,832.25x = 20,761.88 × 20,761.88
  4. Step 4: Simplify right side
    13,832.25x = 431,055,453.52
  5. Step 5: Solve for x
    x = 431,055,453.52/13,832.25
  6. Step 6: Final answer
    x = 31,163.08

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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.