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Finding the Third Proportional to 16,991 and 34,738

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Solution

The third proportional to 16,991 and 34,738 is: 71,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991 : 34,738 = 34,738 : x
  2. Step 2: Convert to fraction form
    16,991/34,738 = 34,738/x
  3. Step 3: Cross multiply
    16,991x = 34,738 × 34,738
  4. Step 4: Simplify right side
    16,991x = 1,206,728,644
  5. Step 5: Solve for x
    x = 1,206,728,644/16,991
  6. Step 6: Final answer
    x = 71,021.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.