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Finding the Third Proportional to 5,741 and 6,269

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Solution

The third proportional to 5,741 and 6,269 is: 6,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741 : 6,269 = 6,269 : x
  2. Step 2: Convert to fraction form
    5,741/6,269 = 6,269/x
  3. Step 3: Cross multiply
    5,741x = 6,269 × 6,269
  4. Step 4: Simplify right side
    5,741x = 39,300,361
  5. Step 5: Solve for x
    x = 39,300,361/5,741
  6. Step 6: Final answer
    x = 6,845.56

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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.