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Finding the Third Proportional to 3,827 and 5,751

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Solution

The third proportional to 3,827 and 5,751 is: 8,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,751 = 5,751 : x
  2. Step 2: Convert to fraction form
    3,827/5,751 = 5,751/x
  3. Step 3: Cross multiply
    3,827x = 5,751 × 5,751
  4. Step 4: Simplify right side
    3,827x = 33,074,001
  5. Step 5: Solve for x
    x = 33,074,001/3,827
  6. Step 6: Final answer
    x = 8,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.