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Finding the Third Proportional to 16,456 and 33,524

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Solution

The third proportional to 16,456 and 33,524 is: 68,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 33,524 = 33,524 : x
  2. Step 2: Convert to fraction form
    16,456/33,524 = 33,524/x
  3. Step 3: Cross multiply
    16,456x = 33,524 × 33,524
  4. Step 4: Simplify right side
    16,456x = 1,123,858,576
  5. Step 5: Solve for x
    x = 1,123,858,576/16,456
  6. Step 6: Final answer
    x = 68,294.76

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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.