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Finding the Third Proportional to 3,827 and 5,150

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Solution

The third proportional to 3,827 and 5,150 is: 6,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,150 = 5,150 : x
  2. Step 2: Convert to fraction form
    3,827/5,150 = 5,150/x
  3. Step 3: Cross multiply
    3,827x = 5,150 × 5,150
  4. Step 4: Simplify right side
    3,827x = 26,522,500
  5. Step 5: Solve for x
    x = 26,522,500/3,827
  6. Step 6: Final answer
    x = 6,930.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.