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Finding the Third Proportional to 11,614.50 and 24,561

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Solution

The third proportional to 11,614.50 and 24,561 is: 51,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 24,561 = 24,561 : x
  2. Step 2: Convert to fraction form
    11,614.50/24,561 = 24,561/x
  3. Step 3: Cross multiply
    11,614.50x = 24,561 × 24,561
  4. Step 4: Simplify right side
    11,614.50x = 603,242,721
  5. Step 5: Solve for x
    x = 603,242,721/11,614.50
  6. Step 6: Final answer
    x = 51,938.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.