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Finding the Third Proportional to 18,277 and 39,467

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Solution

The third proportional to 18,277 and 39,467 is: 85,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277 : 39,467 = 39,467 : x
  2. Step 2: Convert to fraction form
    18,277/39,467 = 39,467/x
  3. Step 3: Cross multiply
    18,277x = 39,467 × 39,467
  4. Step 4: Simplify right side
    18,277x = 1,557,644,089
  5. Step 5: Solve for x
    x = 1,557,644,089/18,277
  6. Step 6: Final answer
    x = 85,224.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.