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Finding the Third Proportional to 16,631 and 35,698

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Solution

The third proportional to 16,631 and 35,698 is: 76,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,631 : 35,698 = 35,698 : x
  2. Step 2: Convert to fraction form
    16,631/35,698 = 35,698/x
  3. Step 3: Cross multiply
    16,631x = 35,698 × 35,698
  4. Step 4: Simplify right side
    16,631x = 1,274,347,204
  5. Step 5: Solve for x
    x = 1,274,347,204/16,631
  6. Step 6: Final answer
    x = 76,624.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.