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Finding the Third Proportional to 8,091 and 11,867

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Solution

The third proportional to 8,091 and 11,867 is: 17,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 11,867 = 11,867 : x
  2. Step 2: Convert to fraction form
    8,091/11,867 = 11,867/x
  3. Step 3: Cross multiply
    8,091x = 11,867 × 11,867
  4. Step 4: Simplify right side
    8,091x = 140,825,689
  5. Step 5: Solve for x
    x = 140,825,689/8,091
  6. Step 6: Final answer
    x = 17,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.