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Finding the Third Proportional to 5,419 and 11,267

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Solution

The third proportional to 5,419 and 11,267 is: 23,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 11,267 = 11,267 : x
  2. Step 2: Convert to fraction form
    5,419/11,267 = 11,267/x
  3. Step 3: Cross multiply
    5,419x = 11,267 × 11,267
  4. Step 4: Simplify right side
    5,419x = 126,945,289
  5. Step 5: Solve for x
    x = 126,945,289/5,419
  6. Step 6: Final answer
    x = 23,425.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.