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Finding the Third Proportional to 13,057.31 and 19,891.97

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Solution

The third proportional to 13,057.31 and 19,891.97 is: 30,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.31 : 19,891.97 = 19,891.97 : x
  2. Step 2: Convert to fraction form
    13,057.31/19,891.97 = 19,891.97/x
  3. Step 3: Cross multiply
    13,057.31x = 19,891.97 × 19,891.97
  4. Step 4: Simplify right side
    13,057.31x = 395,690,420.75
  5. Step 5: Solve for x
    x = 395,690,420.75/13,057.31
  6. Step 6: Final answer
    x = 30,304.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.