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Finding the Third Proportional to 8,591 and 12,256

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Solution

The third proportional to 8,591 and 12,256 is: 17,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591 : 12,256 = 12,256 : x
  2. Step 2: Convert to fraction form
    8,591/12,256 = 12,256/x
  3. Step 3: Cross multiply
    8,591x = 12,256 × 12,256
  4. Step 4: Simplify right side
    8,591x = 150,209,536
  5. Step 5: Solve for x
    x = 150,209,536/8,591
  6. Step 6: Final answer
    x = 17,484.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.