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Finding the Third Proportional to 5,956 and 8,174.75

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Solution

The third proportional to 5,956 and 8,174.75 is: 11,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956 : 8,174.75 = 8,174.75 : x
  2. Step 2: Convert to fraction form
    5,956/8,174.75 = 8,174.75/x
  3. Step 3: Cross multiply
    5,956x = 8,174.75 × 8,174.75
  4. Step 4: Simplify right side
    5,956x = 66,826,537.56
  5. Step 5: Solve for x
    x = 66,826,537.56/5,956
  6. Step 6: Final answer
    x = 11,220.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.