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Finding the Third Proportional to 7,917 and 11,871

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Solution

The third proportional to 7,917 and 11,871 is: 17,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 11,871 = 11,871 : x
  2. Step 2: Convert to fraction form
    7,917/11,871 = 11,871/x
  3. Step 3: Cross multiply
    7,917x = 11,871 × 11,871
  4. Step 4: Simplify right side
    7,917x = 140,920,641
  5. Step 5: Solve for x
    x = 140,920,641/7,917
  6. Step 6: Final answer
    x = 17,799.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.