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Finding the Third Proportional to 5,771 and 6,371

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Solution

The third proportional to 5,771 and 6,371 is: 7,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771 : 6,371 = 6,371 : x
  2. Step 2: Convert to fraction form
    5,771/6,371 = 6,371/x
  3. Step 3: Cross multiply
    5,771x = 6,371 × 6,371
  4. Step 4: Simplify right side
    5,771x = 40,589,641
  5. Step 5: Solve for x
    x = 40,589,641/5,771
  6. Step 6: Final answer
    x = 7,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.