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Finding the Third Proportional to 19,171.69 and 41,244.19

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Solution

The third proportional to 19,171.69 and 41,244.19 is: 88,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,171.69 : 41,244.19 = 41,244.19 : x
  2. Step 2: Convert to fraction form
    19,171.69/41,244.19 = 41,244.19/x
  3. Step 3: Cross multiply
    19,171.69x = 41,244.19 × 41,244.19
  4. Step 4: Simplify right side
    19,171.69x = 1,701,083,002.54
  5. Step 5: Solve for x
    x = 1,701,083,002.54/19,171.69
  6. Step 6: Final answer
    x = 88,728.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.