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Finding the Third Proportional to 12,217.50 and 18,561

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Solution

The third proportional to 12,217.50 and 18,561 is: 28,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.50 : 18,561 = 18,561 : x
  2. Step 2: Convert to fraction form
    12,217.50/18,561 = 18,561/x
  3. Step 3: Cross multiply
    12,217.50x = 18,561 × 18,561
  4. Step 4: Simplify right side
    12,217.50x = 344,510,721
  5. Step 5: Solve for x
    x = 344,510,721/12,217.50
  6. Step 6: Final answer
    x = 28,198.14

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Why These Related Problems?

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