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Finding the Third Proportional to 12,003.75 and 18,171.56

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Solution

The third proportional to 12,003.75 and 18,171.56 is: 27,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.75 : 18,171.56 = 18,171.56 : x
  2. Step 2: Convert to fraction form
    12,003.75/18,171.56 = 18,171.56/x
  3. Step 3: Cross multiply
    12,003.75x = 18,171.56 × 18,171.56
  4. Step 4: Simplify right side
    12,003.75x = 330,205,683.69
  5. Step 5: Solve for x
    x = 330,205,683.69/12,003.75
  6. Step 6: Final answer
    x = 27,508.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.