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Finding the Third Proportional to 16,796 and 38,642

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Solution

The third proportional to 16,796 and 38,642 is: 88,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796 : 38,642 = 38,642 : x
  2. Step 2: Convert to fraction form
    16,796/38,642 = 38,642/x
  3. Step 3: Cross multiply
    16,796x = 38,642 × 38,642
  4. Step 4: Simplify right side
    16,796x = 1,493,204,164
  5. Step 5: Solve for x
    x = 1,493,204,164/16,796
  6. Step 6: Final answer
    x = 88,902.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.