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Finding the Third Proportional to 11,013.84 and 16,524.14

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Solution

The third proportional to 11,013.84 and 16,524.14 is: 24,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.84 : 16,524.14 = 16,524.14 : x
  2. Step 2: Convert to fraction form
    11,013.84/16,524.14 = 16,524.14/x
  3. Step 3: Cross multiply
    11,013.84x = 16,524.14 × 16,524.14
  4. Step 4: Simplify right side
    11,013.84x = 273,047,223.39
  5. Step 5: Solve for x
    x = 273,047,223.39/11,013.84
  6. Step 6: Final answer
    x = 24,791.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.