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Finding the Third Proportional to 37,976 and 81,795

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Solution

The third proportional to 37,976 and 81,795 is: 176,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,976 : 81,795 = 81,795 : x
  2. Step 2: Convert to fraction form
    37,976/81,795 = 81,795/x
  3. Step 3: Cross multiply
    37,976x = 81,795 × 81,795
  4. Step 4: Simplify right side
    37,976x = 6,690,422,025
  5. Step 5: Solve for x
    x = 6,690,422,025/37,976
  6. Step 6: Final answer
    x = 176,175.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.