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Finding the Third Proportional to 3,639.94 and 7,961.39

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Solution

The third proportional to 3,639.94 and 7,961.39 is: 17,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.94 : 7,961.39 = 7,961.39 : x
  2. Step 2: Convert to fraction form
    3,639.94/7,961.39 = 7,961.39/x
  3. Step 3: Cross multiply
    3,639.94x = 7,961.39 × 7,961.39
  4. Step 4: Simplify right side
    3,639.94x = 63,383,740.68
  5. Step 5: Solve for x
    x = 63,383,740.68/3,639.94
  6. Step 6: Final answer
    x = 17,413.41

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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.