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Finding the Third Proportional to 3,310.88 and 4,413.94

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Solution

The third proportional to 3,310.88 and 4,413.94 is: 5,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.88 : 4,413.94 = 4,413.94 : x
  2. Step 2: Convert to fraction form
    3,310.88/4,413.94 = 4,413.94/x
  3. Step 3: Cross multiply
    3,310.88x = 4,413.94 × 4,413.94
  4. Step 4: Simplify right side
    3,310.88x = 19,482,844.25
  5. Step 5: Solve for x
    x = 19,482,844.25/3,310.88
  6. Step 6: Final answer
    x = 5,884.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.