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Finding the Third Proportional to 38,110 and 84,962

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Solution

The third proportional to 38,110 and 84,962 is: 189,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,110 : 84,962 = 84,962 : x
  2. Step 2: Convert to fraction form
    38,110/84,962 = 84,962/x
  3. Step 3: Cross multiply
    38,110x = 84,962 × 84,962
  4. Step 4: Simplify right side
    38,110x = 7,218,541,444
  5. Step 5: Solve for x
    x = 7,218,541,444/38,110
  6. Step 6: Final answer
    x = 189,413.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.