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Finding the Third Proportional to 2,567 and 3,917

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Solution

The third proportional to 2,567 and 3,917 is: 5,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567 : 3,917 = 3,917 : x
  2. Step 2: Convert to fraction form
    2,567/3,917 = 3,917/x
  3. Step 3: Cross multiply
    2,567x = 3,917 × 3,917
  4. Step 4: Simplify right side
    2,567x = 15,342,889
  5. Step 5: Solve for x
    x = 15,342,889/2,567
  6. Step 6: Final answer
    x = 5,976.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.