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Finding the Third Proportional to 4,122 and 5,811

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Solution

The third proportional to 4,122 and 5,811 is: 8,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,811 = 5,811 : x
  2. Step 2: Convert to fraction form
    4,122/5,811 = 5,811/x
  3. Step 3: Cross multiply
    4,122x = 5,811 × 5,811
  4. Step 4: Simplify right side
    4,122x = 33,767,721
  5. Step 5: Solve for x
    x = 33,767,721/4,122
  6. Step 6: Final answer
    x = 8,192.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.