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Finding the Third Proportional to 5,413.50 and 11,819.25

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Solution

The third proportional to 5,413.50 and 11,819.25 is: 25,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.50 : 11,819.25 = 11,819.25 : x
  2. Step 2: Convert to fraction form
    5,413.50/11,819.25 = 11,819.25/x
  3. Step 3: Cross multiply
    5,413.50x = 11,819.25 × 11,819.25
  4. Step 4: Simplify right side
    5,413.50x = 139,694,670.56
  5. Step 5: Solve for x
    x = 139,694,670.56/5,413.50
  6. Step 6: Final answer
    x = 25,804.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.