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Finding the Third Proportional to 11,614.50 and 24,869.25

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Solution

The third proportional to 11,614.50 and 24,869.25 is: 53,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 24,869.25 = 24,869.25 : x
  2. Step 2: Convert to fraction form
    11,614.50/24,869.25 = 24,869.25/x
  3. Step 3: Cross multiply
    11,614.50x = 24,869.25 × 24,869.25
  4. Step 4: Simplify right side
    11,614.50x = 618,479,595.56
  5. Step 5: Solve for x
    x = 618,479,595.56/11,614.50
  6. Step 6: Final answer
    x = 53,250.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.