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Finding the Third Proportional to 3,855.94 and 8,387.72

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Solution

The third proportional to 3,855.94 and 8,387.72 is: 18,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.94 : 8,387.72 = 8,387.72 : x
  2. Step 2: Convert to fraction form
    3,855.94/8,387.72 = 8,387.72/x
  3. Step 3: Cross multiply
    3,855.94x = 8,387.72 × 8,387.72
  4. Step 4: Simplify right side
    3,855.94x = 70,353,825.83
  5. Step 5: Solve for x
    x = 70,353,825.83/3,855.94
  6. Step 6: Final answer
    x = 18,245.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.