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Finding the Third Proportional to 3,957 and 8,193

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Solution

The third proportional to 3,957 and 8,193 is: 16,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957 : 8,193 = 8,193 : x
  2. Step 2: Convert to fraction form
    3,957/8,193 = 8,193/x
  3. Step 3: Cross multiply
    3,957x = 8,193 × 8,193
  4. Step 4: Simplify right side
    3,957x = 67,125,249
  5. Step 5: Solve for x
    x = 67,125,249/3,957
  6. Step 6: Final answer
    x = 16,963.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.