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Finding the Third Proportional to 5,686 and 8,162

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Solution

The third proportional to 5,686 and 8,162 is: 11,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686 : 8,162 = 8,162 : x
  2. Step 2: Convert to fraction form
    5,686/8,162 = 8,162/x
  3. Step 3: Cross multiply
    5,686x = 8,162 × 8,162
  4. Step 4: Simplify right side
    5,686x = 66,618,244
  5. Step 5: Solve for x
    x = 66,618,244/5,686
  6. Step 6: Final answer
    x = 11,716.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.