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Finding the Third Proportional to 3,814 and 5,324

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Solution

The third proportional to 3,814 and 5,324 is: 7,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 5,324 = 5,324 : x
  2. Step 2: Convert to fraction form
    3,814/5,324 = 5,324/x
  3. Step 3: Cross multiply
    3,814x = 5,324 × 5,324
  4. Step 4: Simplify right side
    3,814x = 28,344,976
  5. Step 5: Solve for x
    x = 28,344,976/3,814
  6. Step 6: Final answer
    x = 7,431.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.