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Finding the Third Proportional to 6,311 and 6,869

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Solution

The third proportional to 6,311 and 6,869 is: 7,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 6,869 = 6,869 : x
  2. Step 2: Convert to fraction form
    6,311/6,869 = 6,869/x
  3. Step 3: Cross multiply
    6,311x = 6,869 × 6,869
  4. Step 4: Simplify right side
    6,311x = 47,183,161
  5. Step 5: Solve for x
    x = 47,183,161/6,311
  6. Step 6: Final answer
    x = 7,476.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.