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Finding the Third Proportional to 2,413.13 and 5,843.81

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Solution

The third proportional to 2,413.13 and 5,843.81 is: 14,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.13 : 5,843.81 = 5,843.81 : x
  2. Step 2: Convert to fraction form
    2,413.13/5,843.81 = 5,843.81/x
  3. Step 3: Cross multiply
    2,413.13x = 5,843.81 × 5,843.81
  4. Step 4: Simplify right side
    2,413.13x = 34,150,144.54
  5. Step 5: Solve for x
    x = 34,150,144.54/2,413.13
  6. Step 6: Final answer
    x = 14,151.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.