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Finding the Third Proportional to 11,771 and 16,589

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Solution

The third proportional to 11,771 and 16,589 is: 23,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771 : 16,589 = 16,589 : x
  2. Step 2: Convert to fraction form
    11,771/16,589 = 16,589/x
  3. Step 3: Cross multiply
    11,771x = 16,589 × 16,589
  4. Step 4: Simplify right side
    11,771x = 275,194,921
  5. Step 5: Solve for x
    x = 275,194,921/11,771
  6. Step 6: Final answer
    x = 23,379.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.