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Finding the Third Proportional to 11,082 and 16,911

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Solution

The third proportional to 11,082 and 16,911 is: 25,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 16,911 = 16,911 : x
  2. Step 2: Convert to fraction form
    11,082/16,911 = 16,911/x
  3. Step 3: Cross multiply
    11,082x = 16,911 × 16,911
  4. Step 4: Simplify right side
    11,082x = 285,981,921
  5. Step 5: Solve for x
    x = 285,981,921/11,082
  6. Step 6: Final answer
    x = 25,805.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.