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Finding the Third Proportional to 16,682 and 36,268

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Solution

The third proportional to 16,682 and 36,268 is: 78,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682 : 36,268 = 36,268 : x
  2. Step 2: Convert to fraction form
    16,682/36,268 = 36,268/x
  3. Step 3: Cross multiply
    16,682x = 36,268 × 36,268
  4. Step 4: Simplify right side
    16,682x = 1,315,367,824
  5. Step 5: Solve for x
    x = 1,315,367,824/16,682
  6. Step 6: Final answer
    x = 78,849.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.