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Finding the Third Proportional to 33,413.25 and 72,048.75

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Solution

The third proportional to 33,413.25 and 72,048.75 is: 155,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.25 : 72,048.75 = 72,048.75 : x
  2. Step 2: Convert to fraction form
    33,413.25/72,048.75 = 72,048.75/x
  3. Step 3: Cross multiply
    33,413.25x = 72,048.75 × 72,048.75
  4. Step 4: Simplify right side
    33,413.25x = 5,191,022,376.56
  5. Step 5: Solve for x
    x = 5,191,022,376.56/33,413.25
  6. Step 6: Final answer
    x = 155,358.20

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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.