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Finding the Third Proportional to 16,822 and 36,407

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Solution

The third proportional to 16,822 and 36,407 is: 78,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 36,407 = 36,407 : x
  2. Step 2: Convert to fraction form
    16,822/36,407 = 36,407/x
  3. Step 3: Cross multiply
    16,822x = 36,407 × 36,407
  4. Step 4: Simplify right side
    16,822x = 1,325,469,649
  5. Step 5: Solve for x
    x = 1,325,469,649/16,822
  6. Step 6: Final answer
    x = 78,793.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.