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Finding the Third Proportional to 36,983.25 and 80,961.75

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Solution

The third proportional to 36,983.25 and 80,961.75 is: 177,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,983.25 : 80,961.75 = 80,961.75 : x
  2. Step 2: Convert to fraction form
    36,983.25/80,961.75 = 80,961.75/x
  3. Step 3: Cross multiply
    36,983.25x = 80,961.75 × 80,961.75
  4. Step 4: Simplify right side
    36,983.25x = 6,554,804,963.06
  5. Step 5: Solve for x
    x = 6,554,804,963.06/36,983.25
  6. Step 6: Final answer
    x = 177,237.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.