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Finding the Third Proportional to 17,897 and 39,193

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Solution

The third proportional to 17,897 and 39,193 is: 85,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897 : 39,193 = 39,193 : x
  2. Step 2: Convert to fraction form
    17,897/39,193 = 39,193/x
  3. Step 3: Cross multiply
    17,897x = 39,193 × 39,193
  4. Step 4: Simplify right side
    17,897x = 1,536,091,249
  5. Step 5: Solve for x
    x = 1,536,091,249/17,897
  6. Step 6: Final answer
    x = 85,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.