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Finding the Third Proportional to 34,500.94 and 80,625.38

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Solution

The third proportional to 34,500.94 and 80,625.38 is: 188,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500.94 : 80,625.38 = 80,625.38 : x
  2. Step 2: Convert to fraction form
    34,500.94/80,625.38 = 80,625.38/x
  3. Step 3: Cross multiply
    34,500.94x = 80,625.38 × 80,625.38
  4. Step 4: Simplify right side
    34,500.94x = 6,500,451,093.89
  5. Step 5: Solve for x
    x = 6,500,451,093.89/34,500.94
  6. Step 6: Final answer
    x = 188,413.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.