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Finding the Third Proportional to 38,171.25 and 81,413.44

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Solution

The third proportional to 38,171.25 and 81,413.44 is: 173,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,171.25 : 81,413.44 = 81,413.44 : x
  2. Step 2: Convert to fraction form
    38,171.25/81,413.44 = 81,413.44/x
  3. Step 3: Cross multiply
    38,171.25x = 81,413.44 × 81,413.44
  4. Step 4: Simplify right side
    38,171.25x = 6,628,147,805.57
  5. Step 5: Solve for x
    x = 6,628,147,805.57/38,171.25
  6. Step 6: Final answer
    x = 173,642.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.