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Finding the Third Proportional to 9,517.50 and 15,198.75

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Solution

The third proportional to 9,517.50 and 15,198.75 is: 24,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.50 : 15,198.75 = 15,198.75 : x
  2. Step 2: Convert to fraction form
    9,517.50/15,198.75 = 15,198.75/x
  3. Step 3: Cross multiply
    9,517.50x = 15,198.75 × 15,198.75
  4. Step 4: Simplify right side
    9,517.50x = 231,002,001.56
  5. Step 5: Solve for x
    x = 231,002,001.56/9,517.50
  6. Step 6: Final answer
    x = 24,271.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.