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Finding the Third Proportional to 3,186 and 5,686

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Solution

The third proportional to 3,186 and 5,686 is: 10,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 5,686 = 5,686 : x
  2. Step 2: Convert to fraction form
    3,186/5,686 = 5,686/x
  3. Step 3: Cross multiply
    3,186x = 5,686 × 5,686
  4. Step 4: Simplify right side
    3,186x = 32,330,596
  5. Step 5: Solve for x
    x = 32,330,596/3,186
  6. Step 6: Final answer
    x = 10,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.