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Finding the Third Proportional to 4,256 and 5,200

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Solution

The third proportional to 4,256 and 5,200 is: 6,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256 : 5,200 = 5,200 : x
  2. Step 2: Convert to fraction form
    4,256/5,200 = 5,200/x
  3. Step 3: Cross multiply
    4,256x = 5,200 × 5,200
  4. Step 4: Simplify right side
    4,256x = 27,040,000
  5. Step 5: Solve for x
    x = 27,040,000/4,256
  6. Step 6: Final answer
    x = 6,353.38

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.