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Finding the Third Proportional to 16,374 and 33,234

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Solution

The third proportional to 16,374 and 33,234 is: 67,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374 : 33,234 = 33,234 : x
  2. Step 2: Convert to fraction form
    16,374/33,234 = 33,234/x
  3. Step 3: Cross multiply
    16,374x = 33,234 × 33,234
  4. Step 4: Simplify right side
    16,374x = 1,104,498,756
  5. Step 5: Solve for x
    x = 1,104,498,756/16,374
  6. Step 6: Final answer
    x = 67,454.43

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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.