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Finding the Third Proportional to 36,795 and 81,917.25

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Solution

The third proportional to 36,795 and 81,917.25 is: 182,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,795 : 81,917.25 = 81,917.25 : x
  2. Step 2: Convert to fraction form
    36,795/81,917.25 = 81,917.25/x
  3. Step 3: Cross multiply
    36,795x = 81,917.25 × 81,917.25
  4. Step 4: Simplify right side
    36,795x = 6,710,435,847.56
  5. Step 5: Solve for x
    x = 6,710,435,847.56/36,795
  6. Step 6: Final answer
    x = 182,373.58

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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.