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Finding the Third Proportional to 36,864 and 55,296

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Solution

The third proportional to 36,864 and 55,296 is: 82,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 55,296 = 55,296 : x
  2. Step 2: Convert to fraction form
    36,864/55,296 = 55,296/x
  3. Step 3: Cross multiply
    36,864x = 55,296 × 55,296
  4. Step 4: Simplify right side
    36,864x = 3,057,647,616
  5. Step 5: Solve for x
    x = 3,057,647,616/36,864
  6. Step 6: Final answer
    x = 82,944

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.