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Finding the Third Proportional to 8,199 and 9,981

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Solution

The third proportional to 8,199 and 9,981 is: 12,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 9,981 = 9,981 : x
  2. Step 2: Convert to fraction form
    8,199/9,981 = 9,981/x
  3. Step 3: Cross multiply
    8,199x = 9,981 × 9,981
  4. Step 4: Simplify right side
    8,199x = 99,620,361
  5. Step 5: Solve for x
    x = 99,620,361/8,199
  6. Step 6: Final answer
    x = 12,150.31

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.