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Finding the Third Proportional to 16,982 and 34,422

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Solution

The third proportional to 16,982 and 34,422 is: 69,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982 : 34,422 = 34,422 : x
  2. Step 2: Convert to fraction form
    16,982/34,422 = 34,422/x
  3. Step 3: Cross multiply
    16,982x = 34,422 × 34,422
  4. Step 4: Simplify right side
    16,982x = 1,184,874,084
  5. Step 5: Solve for x
    x = 1,184,874,084/16,982
  6. Step 6: Final answer
    x = 69,772.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.