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Finding the Third Proportional to 2,201.39 and 3,413.95

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Solution

The third proportional to 2,201.39 and 3,413.95 is: 5,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.39 : 3,413.95 = 3,413.95 : x
  2. Step 2: Convert to fraction form
    2,201.39/3,413.95 = 3,413.95/x
  3. Step 3: Cross multiply
    2,201.39x = 3,413.95 × 3,413.95
  4. Step 4: Simplify right side
    2,201.39x = 11,655,075.94
  5. Step 5: Solve for x
    x = 11,655,075.94/2,201.39
  6. Step 6: Final answer
    x = 5,294.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.