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Finding the Third Proportional to 2,218.13 and 3,413.44

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Solution

The third proportional to 2,218.13 and 3,413.44 is: 5,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.13 : 3,413.44 = 3,413.44 : x
  2. Step 2: Convert to fraction form
    2,218.13/3,413.44 = 3,413.44/x
  3. Step 3: Cross multiply
    2,218.13x = 3,413.44 × 3,413.44
  4. Step 4: Simplify right side
    2,218.13x = 11,651,555.57
  5. Step 5: Solve for x
    x = 11,651,555.57/2,218.13
  6. Step 6: Final answer
    x = 5,252.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.