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Finding the Third Proportional to 6,137 and 8,193

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Solution

The third proportional to 6,137 and 8,193 is: 10,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 8,193 = 8,193 : x
  2. Step 2: Convert to fraction form
    6,137/8,193 = 8,193/x
  3. Step 3: Cross multiply
    6,137x = 8,193 × 8,193
  4. Step 4: Simplify right side
    6,137x = 67,125,249
  5. Step 5: Solve for x
    x = 67,125,249/6,137
  6. Step 6: Final answer
    x = 10,937.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.