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Finding the Third Proportional to 4,099 and 6,311

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Solution

The third proportional to 4,099 and 6,311 is: 9,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099 : 6,311 = 6,311 : x
  2. Step 2: Convert to fraction form
    4,099/6,311 = 6,311/x
  3. Step 3: Cross multiply
    4,099x = 6,311 × 6,311
  4. Step 4: Simplify right side
    4,099x = 39,828,721
  5. Step 5: Solve for x
    x = 39,828,721/4,099
  6. Step 6: Final answer
    x = 9,716.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.