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Finding the Third Proportional to 5,741 and 6,281

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Solution

The third proportional to 5,741 and 6,281 is: 6,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741 : 6,281 = 6,281 : x
  2. Step 2: Convert to fraction form
    5,741/6,281 = 6,281/x
  3. Step 3: Cross multiply
    5,741x = 6,281 × 6,281
  4. Step 4: Simplify right side
    5,741x = 39,450,961
  5. Step 5: Solve for x
    x = 39,450,961/5,741
  6. Step 6: Final answer
    x = 6,871.79

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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.