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Finding the Third Proportional to 36,799 and 81,926

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Solution

The third proportional to 36,799 and 81,926 is: 182,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,799 : 81,926 = 81,926 : x
  2. Step 2: Convert to fraction form
    36,799/81,926 = 81,926/x
  3. Step 3: Cross multiply
    36,799x = 81,926 × 81,926
  4. Step 4: Simplify right side
    36,799x = 6,711,869,476
  5. Step 5: Solve for x
    x = 6,711,869,476/36,799
  6. Step 6: Final answer
    x = 182,392.71

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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.