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Finding the Third Proportional to 2,234.67 and 4,413.23

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Solution

The third proportional to 2,234.67 and 4,413.23 is: 8,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.67 : 4,413.23 = 4,413.23 : x
  2. Step 2: Convert to fraction form
    2,234.67/4,413.23 = 4,413.23/x
  3. Step 3: Cross multiply
    2,234.67x = 4,413.23 × 4,413.23
  4. Step 4: Simplify right side
    2,234.67x = 19,476,637.65
  5. Step 5: Solve for x
    x = 19,476,637.65/2,234.67
  6. Step 6: Final answer
    x = 8,715.66

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.