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Finding the Third Proportional to 36,938 and 55,267

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Solution

The third proportional to 36,938 and 55,267 is: 82,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938 : 55,267 = 55,267 : x
  2. Step 2: Convert to fraction form
    36,938/55,267 = 55,267/x
  3. Step 3: Cross multiply
    36,938x = 55,267 × 55,267
  4. Step 4: Simplify right side
    36,938x = 3,054,441,289
  5. Step 5: Solve for x
    x = 3,054,441,289/36,938
  6. Step 6: Final answer
    x = 82,691.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.