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Finding the Third Proportional to 16,694.25 and 34,007

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Solution

The third proportional to 16,694.25 and 34,007 is: 69,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.25 : 34,007 = 34,007 : x
  2. Step 2: Convert to fraction form
    16,694.25/34,007 = 34,007/x
  3. Step 3: Cross multiply
    16,694.25x = 34,007 × 34,007
  4. Step 4: Simplify right side
    16,694.25x = 1,156,476,049
  5. Step 5: Solve for x
    x = 1,156,476,049/16,694.25
  6. Step 6: Final answer
    x = 69,273.91

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