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Finding the Third Proportional to 34,940.50 and 75,413.50

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Solution

The third proportional to 34,940.50 and 75,413.50 is: 162,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,940.50 : 75,413.50 = 75,413.50 : x
  2. Step 2: Convert to fraction form
    34,940.50/75,413.50 = 75,413.50/x
  3. Step 3: Cross multiply
    34,940.50x = 75,413.50 × 75,413.50
  4. Step 4: Simplify right side
    34,940.50x = 5,687,195,982.25
  5. Step 5: Solve for x
    x = 5,687,195,982.25/34,940.50
  6. Step 6: Final answer
    x = 162,768.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.