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Finding the Third Proportional to 5,847 and 6,855

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Solution

The third proportional to 5,847 and 6,855 is: 8,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 6,855 = 6,855 : x
  2. Step 2: Convert to fraction form
    5,847/6,855 = 6,855/x
  3. Step 3: Cross multiply
    5,847x = 6,855 × 6,855
  4. Step 4: Simplify right side
    5,847x = 46,991,025
  5. Step 5: Solve for x
    x = 46,991,025/5,847
  6. Step 6: Final answer
    x = 8,036.78

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.