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Finding the Third Proportional to 8,524 and 11,456

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Solution

The third proportional to 8,524 and 11,456 is: 15,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 11,456 = 11,456 : x
  2. Step 2: Convert to fraction form
    8,524/11,456 = 11,456/x
  3. Step 3: Cross multiply
    8,524x = 11,456 × 11,456
  4. Step 4: Simplify right side
    8,524x = 131,239,936
  5. Step 5: Solve for x
    x = 131,239,936/8,524
  6. Step 6: Final answer
    x = 15,396.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.