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Finding the Third Proportional to 11,082 and 16,099

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Solution

The third proportional to 11,082 and 16,099 is: 23,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 16,099 = 16,099 : x
  2. Step 2: Convert to fraction form
    11,082/16,099 = 16,099/x
  3. Step 3: Cross multiply
    11,082x = 16,099 × 16,099
  4. Step 4: Simplify right side
    11,082x = 259,177,801
  5. Step 5: Solve for x
    x = 259,177,801/11,082
  6. Step 6: Final answer
    x = 23,387.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.