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Finding the Third Proportional to 3,413.63 and 5,120.44

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Solution

The third proportional to 3,413.63 and 5,120.44 is: 7,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.63 : 5,120.44 = 5,120.44 : x
  2. Step 2: Convert to fraction form
    3,413.63/5,120.44 = 5,120.44/x
  3. Step 3: Cross multiply
    3,413.63x = 5,120.44 × 5,120.44
  4. Step 4: Simplify right side
    3,413.63x = 26,218,880.19
  5. Step 5: Solve for x
    x = 26,218,880.19/3,413.63
  6. Step 6: Final answer
    x = 7,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.