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Finding the Third Proportional to 18,766.69 and 41,016.38

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Solution

The third proportional to 18,766.69 and 41,016.38 is: 89,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.69 : 41,016.38 = 41,016.38 : x
  2. Step 2: Convert to fraction form
    18,766.69/41,016.38 = 41,016.38/x
  3. Step 3: Cross multiply
    18,766.69x = 41,016.38 × 41,016.38
  4. Step 4: Simplify right side
    18,766.69x = 1,682,343,018.14
  5. Step 5: Solve for x
    x = 1,682,343,018.14/18,766.69
  6. Step 6: Final answer
    x = 89,645.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.