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Finding the Third Proportional to 36,002 and 84,091

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Solution

The third proportional to 36,002 and 84,091 is: 196,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002 : 84,091 = 84,091 : x
  2. Step 2: Convert to fraction form
    36,002/84,091 = 84,091/x
  3. Step 3: Cross multiply
    36,002x = 84,091 × 84,091
  4. Step 4: Simplify right side
    36,002x = 7,071,296,281
  5. Step 5: Solve for x
    x = 7,071,296,281/36,002
  6. Step 6: Final answer
    x = 196,413.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.