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Finding the Third Proportional to 8,003 and 11,849

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Solution

The third proportional to 8,003 and 11,849 is: 17,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003 : 11,849 = 11,849 : x
  2. Step 2: Convert to fraction form
    8,003/11,849 = 11,849/x
  3. Step 3: Cross multiply
    8,003x = 11,849 × 11,849
  4. Step 4: Simplify right side
    8,003x = 140,398,801
  5. Step 5: Solve for x
    x = 140,398,801/8,003
  6. Step 6: Final answer
    x = 17,543.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.