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Finding the Third Proportional to 2,267.44 and 3,413.81

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Solution

The third proportional to 2,267.44 and 3,413.81 is: 5,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.44 : 3,413.81 = 3,413.81 : x
  2. Step 2: Convert to fraction form
    2,267.44/3,413.81 = 3,413.81/x
  3. Step 3: Cross multiply
    2,267.44x = 3,413.81 × 3,413.81
  4. Step 4: Simplify right side
    2,267.44x = 11,654,115.79
  5. Step 5: Solve for x
    x = 11,654,115.79/2,267.44
  6. Step 6: Final answer
    x = 5,139.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.