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Finding the Third Proportional to 19,227 and 41,329

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Solution

The third proportional to 19,227 and 41,329 is: 88,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,227 : 41,329 = 41,329 : x
  2. Step 2: Convert to fraction form
    19,227/41,329 = 41,329/x
  3. Step 3: Cross multiply
    19,227x = 41,329 × 41,329
  4. Step 4: Simplify right side
    19,227x = 1,708,086,241
  5. Step 5: Solve for x
    x = 1,708,086,241/19,227
  6. Step 6: Final answer
    x = 88,837.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.