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Finding the Third Proportional to 33,952 and 81,296

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Solution

The third proportional to 33,952 and 81,296 is: 194,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952 : 81,296 = 81,296 : x
  2. Step 2: Convert to fraction form
    33,952/81,296 = 81,296/x
  3. Step 3: Cross multiply
    33,952x = 81,296 × 81,296
  4. Step 4: Simplify right side
    33,952x = 6,609,039,616
  5. Step 5: Solve for x
    x = 6,609,039,616/33,952
  6. Step 6: Final answer
    x = 194,658.33

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.