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Finding the Third Proportional to 5,251 and 6,349

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Solution

The third proportional to 5,251 and 6,349 is: 7,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251 : 6,349 = 6,349 : x
  2. Step 2: Convert to fraction form
    5,251/6,349 = 6,349/x
  3. Step 3: Cross multiply
    5,251x = 6,349 × 6,349
  4. Step 4: Simplify right side
    5,251x = 40,309,801
  5. Step 5: Solve for x
    x = 40,309,801/5,251
  6. Step 6: Final answer
    x = 7,676.60

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.