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Finding the Third Proportional to 28,204 and 61,267

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Solution

The third proportional to 28,204 and 61,267 is: 133,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204 : 61,267 = 61,267 : x
  2. Step 2: Convert to fraction form
    28,204/61,267 = 61,267/x
  3. Step 3: Cross multiply
    28,204x = 61,267 × 61,267
  4. Step 4: Simplify right side
    28,204x = 3,753,645,289
  5. Step 5: Solve for x
    x = 3,753,645,289/28,204
  6. Step 6: Final answer
    x = 133,089.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.