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Finding the Third Proportional to 11,787.75 and 18,091.69

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Solution

The third proportional to 11,787.75 and 18,091.69 is: 27,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.75 : 18,091.69 = 18,091.69 : x
  2. Step 2: Convert to fraction form
    11,787.75/18,091.69 = 18,091.69/x
  3. Step 3: Cross multiply
    11,787.75x = 18,091.69 × 18,091.69
  4. Step 4: Simplify right side
    11,787.75x = 327,309,156.60
  5. Step 5: Solve for x
    x = 327,309,156.60/11,787.75
  6. Step 6: Final answer
    x = 27,766.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.