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Finding the Third Proportional to 5,504 and 8,256

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Solution

The third proportional to 5,504 and 8,256 is: 12,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504 : 8,256 = 8,256 : x
  2. Step 2: Convert to fraction form
    5,504/8,256 = 8,256/x
  3. Step 3: Cross multiply
    5,504x = 8,256 × 8,256
  4. Step 4: Simplify right side
    5,504x = 68,161,536
  5. Step 5: Solve for x
    x = 68,161,536/5,504
  6. Step 6: Final answer
    x = 12,384

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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.