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Finding the Third Proportional to 3,413.39 and 4,793.55

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Solution

The third proportional to 3,413.39 and 4,793.55 is: 6,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.39 : 4,793.55 = 4,793.55 : x
  2. Step 2: Convert to fraction form
    3,413.39/4,793.55 = 4,793.55/x
  3. Step 3: Cross multiply
    3,413.39x = 4,793.55 × 4,793.55
  4. Step 4: Simplify right side
    3,413.39x = 22,978,166.54
  5. Step 5: Solve for x
    x = 22,978,166.54/3,413.39
  6. Step 6: Final answer
    x = 6,731.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.