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Finding the Third Proportional to 10,934 and 16,811

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Solution

The third proportional to 10,934 and 16,811 is: 25,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934 : 16,811 = 16,811 : x
  2. Step 2: Convert to fraction form
    10,934/16,811 = 16,811/x
  3. Step 3: Cross multiply
    10,934x = 16,811 × 16,811
  4. Step 4: Simplify right side
    10,934x = 282,609,721
  5. Step 5: Solve for x
    x = 282,609,721/10,934
  6. Step 6: Final answer
    x = 25,846.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.