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Finding the Third Proportional to 8,361 and 17,811

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Solution

The third proportional to 8,361 and 17,811 is: 37,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361 : 17,811 = 17,811 : x
  2. Step 2: Convert to fraction form
    8,361/17,811 = 17,811/x
  3. Step 3: Cross multiply
    8,361x = 17,811 × 17,811
  4. Step 4: Simplify right side
    8,361x = 317,231,721
  5. Step 5: Solve for x
    x = 317,231,721/8,361
  6. Step 6: Final answer
    x = 37,941.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.