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Finding the Third Proportional to 3,855.75 and 8,372.16

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Solution

The third proportional to 3,855.75 and 8,372.16 is: 18,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.75 : 8,372.16 = 8,372.16 : x
  2. Step 2: Convert to fraction form
    3,855.75/8,372.16 = 8,372.16/x
  3. Step 3: Cross multiply
    3,855.75x = 8,372.16 × 8,372.16
  4. Step 4: Simplify right side
    3,855.75x = 70,093,000.27
  5. Step 5: Solve for x
    x = 70,093,000.27/3,855.75
  6. Step 6: Final answer
    x = 18,178.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.