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Finding the Third Proportional to 38,413.50 and 79,893

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Solution

The third proportional to 38,413.50 and 79,893 is: 166,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.50 : 79,893 = 79,893 : x
  2. Step 2: Convert to fraction form
    38,413.50/79,893 = 79,893/x
  3. Step 3: Cross multiply
    38,413.50x = 79,893 × 79,893
  4. Step 4: Simplify right side
    38,413.50x = 6,382,891,449
  5. Step 5: Solve for x
    x = 6,382,891,449/38,413.50
  6. Step 6: Final answer
    x = 166,162.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.