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Finding the Third Proportional to 13,267.13 and 15,882.75

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Solution

The third proportional to 13,267.13 and 15,882.75 is: 19,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.13 : 15,882.75 = 15,882.75 : x
  2. Step 2: Convert to fraction form
    13,267.13/15,882.75 = 15,882.75/x
  3. Step 3: Cross multiply
    13,267.13x = 15,882.75 × 15,882.75
  4. Step 4: Simplify right side
    13,267.13x = 252,261,747.56
  5. Step 5: Solve for x
    x = 252,261,747.56/13,267.13
  6. Step 6: Final answer
    x = 19,014.05

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.