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Finding the Third Proportional to 5,686 and 11,647

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Solution

The third proportional to 5,686 and 11,647 is: 23,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686 : 11,647 = 11,647 : x
  2. Step 2: Convert to fraction form
    5,686/11,647 = 11,647/x
  3. Step 3: Cross multiply
    5,686x = 11,647 × 11,647
  4. Step 4: Simplify right side
    5,686x = 135,652,609
  5. Step 5: Solve for x
    x = 135,652,609/5,686
  6. Step 6: Final answer
    x = 23,857.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.