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Finding the Third Proportional to 5,743 and 6,271

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Solution

The third proportional to 5,743 and 6,271 is: 6,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743 : 6,271 = 6,271 : x
  2. Step 2: Convert to fraction form
    5,743/6,271 = 6,271/x
  3. Step 3: Cross multiply
    5,743x = 6,271 × 6,271
  4. Step 4: Simplify right side
    5,743x = 39,325,441
  5. Step 5: Solve for x
    x = 39,325,441/5,743
  6. Step 6: Final answer
    x = 6,847.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.