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Finding the Third Proportional to 3,413.39 and 5,427.42

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Solution

The third proportional to 3,413.39 and 5,427.42 is: 8,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.39 : 5,427.42 = 5,427.42 : x
  2. Step 2: Convert to fraction form
    3,413.39/5,427.42 = 5,427.42/x
  3. Step 3: Cross multiply
    3,413.39x = 5,427.42 × 5,427.42
  4. Step 4: Simplify right side
    3,413.39x = 29,456,908.21
  5. Step 5: Solve for x
    x = 29,456,908.21/3,413.39
  6. Step 6: Final answer
    x = 8,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.