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Finding the Third Proportional to 3,834 and 5,018

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Solution

The third proportional to 3,834 and 5,018 is: 6,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,018 = 5,018 : x
  2. Step 2: Convert to fraction form
    3,834/5,018 = 5,018/x
  3. Step 3: Cross multiply
    3,834x = 5,018 × 5,018
  4. Step 4: Simplify right side
    3,834x = 25,180,324
  5. Step 5: Solve for x
    x = 25,180,324/3,834
  6. Step 6: Final answer
    x = 6,567.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.