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Finding the Third Proportional to 18,684.75 and 27,761.06

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Solution

The third proportional to 18,684.75 and 27,761.06 is: 41,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.75 : 27,761.06 = 27,761.06 : x
  2. Step 2: Convert to fraction form
    18,684.75/27,761.06 = 27,761.06/x
  3. Step 3: Cross multiply
    18,684.75x = 27,761.06 × 27,761.06
  4. Step 4: Simplify right side
    18,684.75x = 770,676,591.13
  5. Step 5: Solve for x
    x = 770,676,591.13/18,684.75
  6. Step 6: Final answer
    x = 41,246.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.