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Finding the Third Proportional to 15,413.06 and 33,679.69

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Solution

The third proportional to 15,413.06 and 33,679.69 is: 73,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.06 : 33,679.69 = 33,679.69 : x
  2. Step 2: Convert to fraction form
    15,413.06/33,679.69 = 33,679.69/x
  3. Step 3: Cross multiply
    15,413.06x = 33,679.69 × 33,679.69
  4. Step 4: Simplify right side
    15,413.06x = 1,134,321,350.10
  5. Step 5: Solve for x
    x = 1,134,321,350.10/15,413.06
  6. Step 6: Final answer
    x = 73,594.81

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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.