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Finding the Third Proportional to 33,923.81 and 74,413.69

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Solution

The third proportional to 33,923.81 and 74,413.69 is: 163,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.81 : 74,413.69 = 74,413.69 : x
  2. Step 2: Convert to fraction form
    33,923.81/74,413.69 = 74,413.69/x
  3. Step 3: Cross multiply
    33,923.81x = 74,413.69 × 74,413.69
  4. Step 4: Simplify right side
    33,923.81x = 5,537,396,887.35
  5. Step 5: Solve for x
    x = 5,537,396,887.35/33,923.81
  6. Step 6: Final answer
    x = 163,230.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.