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Finding the Third Proportional to 18,241 and 39,271

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Solution

The third proportional to 18,241 and 39,271 is: 84,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,241 : 39,271 = 39,271 : x
  2. Step 2: Convert to fraction form
    18,241/39,271 = 39,271/x
  3. Step 3: Cross multiply
    18,241x = 39,271 × 39,271
  4. Step 4: Simplify right side
    18,241x = 1,542,211,441
  5. Step 5: Solve for x
    x = 1,542,211,441/18,241
  6. Step 6: Final answer
    x = 84,546.43

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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.