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Finding the Third Proportional to 3,413.39 and 7,464.23

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Solution

The third proportional to 3,413.39 and 7,464.23 is: 16,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.39 : 7,464.23 = 7,464.23 : x
  2. Step 2: Convert to fraction form
    3,413.39/7,464.23 = 7,464.23/x
  3. Step 3: Cross multiply
    3,413.39x = 7,464.23 × 7,464.23
  4. Step 4: Simplify right side
    3,413.39x = 55,714,794.80
  5. Step 5: Solve for x
    x = 55,714,794.80/3,413.39
  6. Step 6: Final answer
    x = 16,322.42

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Why These Related Problems?

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