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Finding the Third Proportional to 8,164 and 16,811

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Solution

The third proportional to 8,164 and 16,811 is: 34,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 16,811 = 16,811 : x
  2. Step 2: Convert to fraction form
    8,164/16,811 = 16,811/x
  3. Step 3: Cross multiply
    8,164x = 16,811 × 16,811
  4. Step 4: Simplify right side
    8,164x = 282,609,721
  5. Step 5: Solve for x
    x = 282,609,721/8,164
  6. Step 6: Final answer
    x = 34,616.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.