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Finding the Third Proportional to 13,519.31 and 20,166.75

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Solution

The third proportional to 13,519.31 and 20,166.75 is: 30,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.31 : 20,166.75 = 20,166.75 : x
  2. Step 2: Convert to fraction form
    13,519.31/20,166.75 = 20,166.75/x
  3. Step 3: Cross multiply
    13,519.31x = 20,166.75 × 20,166.75
  4. Step 4: Simplify right side
    13,519.31x = 406,697,805.56
  5. Step 5: Solve for x
    x = 406,697,805.56/13,519.31
  6. Step 6: Final answer
    x = 30,082.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.