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Finding the Third Proportional to 11,761 and 18,016.50

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Solution

The third proportional to 11,761 and 18,016.50 is: 27,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 18,016.50 = 18,016.50 : x
  2. Step 2: Convert to fraction form
    11,761/18,016.50 = 18,016.50/x
  3. Step 3: Cross multiply
    11,761x = 18,016.50 × 18,016.50
  4. Step 4: Simplify right side
    11,761x = 324,594,272.25
  5. Step 5: Solve for x
    x = 324,594,272.25/11,761
  6. Step 6: Final answer
    x = 27,599.21

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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.