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Finding the Third Proportional to 13,380.75 and 18,839.25

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Solution

The third proportional to 13,380.75 and 18,839.25 is: 26,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.75 : 18,839.25 = 18,839.25 : x
  2. Step 2: Convert to fraction form
    13,380.75/18,839.25 = 18,839.25/x
  3. Step 3: Cross multiply
    13,380.75x = 18,839.25 × 18,839.25
  4. Step 4: Simplify right side
    13,380.75x = 354,917,340.56
  5. Step 5: Solve for x
    x = 354,917,340.56/13,380.75
  6. Step 6: Final answer
    x = 26,524.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.