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Finding the Third Proportional to 8,671 and 13,799

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Solution

The third proportional to 8,671 and 13,799 is: 21,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671 : 13,799 = 13,799 : x
  2. Step 2: Convert to fraction form
    8,671/13,799 = 13,799/x
  3. Step 3: Cross multiply
    8,671x = 13,799 × 13,799
  4. Step 4: Simplify right side
    8,671x = 190,412,401
  5. Step 5: Solve for x
    x = 190,412,401/8,671
  6. Step 6: Final answer
    x = 21,959.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.