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Finding the Third Proportional to 8,157 and 16,743

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Solution

The third proportional to 8,157 and 16,743 is: 34,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 16,743 = 16,743 : x
  2. Step 2: Convert to fraction form
    8,157/16,743 = 16,743/x
  3. Step 3: Cross multiply
    8,157x = 16,743 × 16,743
  4. Step 4: Simplify right side
    8,157x = 280,328,049
  5. Step 5: Solve for x
    x = 280,328,049/8,157
  6. Step 6: Final answer
    x = 34,366.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.