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Finding the Third Proportional to 31,467.66 and 68,413.78

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Solution

The third proportional to 31,467.66 and 68,413.78 is: 148,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.66 : 68,413.78 = 68,413.78 : x
  2. Step 2: Convert to fraction form
    31,467.66/68,413.78 = 68,413.78/x
  3. Step 3: Cross multiply
    31,467.66x = 68,413.78 × 68,413.78
  4. Step 4: Simplify right side
    31,467.66x = 4,680,445,464.92
  5. Step 5: Solve for x
    x = 4,680,445,464.92/31,467.66
  6. Step 6: Final answer
    x = 148,738.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.