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Finding the Third Proportional to 3,832.88 and 5,861.25

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Solution

The third proportional to 3,832.88 and 5,861.25 is: 8,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.88 : 5,861.25 = 5,861.25 : x
  2. Step 2: Convert to fraction form
    3,832.88/5,861.25 = 5,861.25/x
  3. Step 3: Cross multiply
    3,832.88x = 5,861.25 × 5,861.25
  4. Step 4: Simplify right side
    3,832.88x = 34,354,251.56
  5. Step 5: Solve for x
    x = 34,354,251.56/3,832.88
  6. Step 6: Final answer
    x = 8,963.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.