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Finding the Third Proportional to 36,797 and 81,922

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Solution

The third proportional to 36,797 and 81,922 is: 182,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,797 : 81,922 = 81,922 : x
  2. Step 2: Convert to fraction form
    36,797/81,922 = 81,922/x
  3. Step 3: Cross multiply
    36,797x = 81,922 × 81,922
  4. Step 4: Simplify right side
    36,797x = 6,711,214,084
  5. Step 5: Solve for x
    x = 6,711,214,084/36,797
  6. Step 6: Final answer
    x = 182,384.82

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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.