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Finding the Third Proportional to 14,882.25 and 20,211.38

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Solution

The third proportional to 14,882.25 and 20,211.38 is: 27,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.25 : 20,211.38 = 20,211.38 : x
  2. Step 2: Convert to fraction form
    14,882.25/20,211.38 = 20,211.38/x
  3. Step 3: Cross multiply
    14,882.25x = 20,211.38 × 20,211.38
  4. Step 4: Simplify right side
    14,882.25x = 408,499,679.39
  5. Step 5: Solve for x
    x = 408,499,679.39/14,882.25
  6. Step 6: Final answer
    x = 27,448.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.