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Finding the Third Proportional to 36,999.28 and 81,379.27

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Solution

The third proportional to 36,999.28 and 81,379.27 is: 178,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999.28 : 81,379.27 = 81,379.27 : x
  2. Step 2: Convert to fraction form
    36,999.28/81,379.27 = 81,379.27/x
  3. Step 3: Cross multiply
    36,999.28x = 81,379.27 × 81,379.27
  4. Step 4: Simplify right side
    36,999.28x = 6,622,584,873.66
  5. Step 5: Solve for x
    x = 6,622,584,873.66/36,999.28
  6. Step 6: Final answer
    x = 178,992.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.