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Finding the Third Proportional to 8,091 and 12,102.75

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Solution

The third proportional to 8,091 and 12,102.75 is: 18,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 12,102.75 = 12,102.75 : x
  2. Step 2: Convert to fraction form
    8,091/12,102.75 = 12,102.75/x
  3. Step 3: Cross multiply
    8,091x = 12,102.75 × 12,102.75
  4. Step 4: Simplify right side
    8,091x = 146,476,557.56
  5. Step 5: Solve for x
    x = 146,476,557.56/8,091
  6. Step 6: Final answer
    x = 18,103.64

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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.