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Finding the Third Proportional to 28,794 and 38,267

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Solution

The third proportional to 28,794 and 38,267 is: 50,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,794 : 38,267 = 38,267 : x
  2. Step 2: Convert to fraction form
    28,794/38,267 = 38,267/x
  3. Step 3: Cross multiply
    28,794x = 38,267 × 38,267
  4. Step 4: Simplify right side
    28,794x = 1,464,363,289
  5. Step 5: Solve for x
    x = 1,464,363,289/28,794
  6. Step 6: Final answer
    x = 50,856.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.