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Finding the Third Proportional to 6,186 and 11,589

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Solution

The third proportional to 6,186 and 11,589 is: 21,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 11,589 = 11,589 : x
  2. Step 2: Convert to fraction form
    6,186/11,589 = 11,589/x
  3. Step 3: Cross multiply
    6,186x = 11,589 × 11,589
  4. Step 4: Simplify right side
    6,186x = 134,304,921
  5. Step 5: Solve for x
    x = 134,304,921/6,186
  6. Step 6: Final answer
    x = 21,711.11

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.