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Finding the Third Proportional to 4,519.23 and 8,662.57

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Solution

The third proportional to 4,519.23 and 8,662.57 is: 16,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.23 : 8,662.57 = 8,662.57 : x
  2. Step 2: Convert to fraction form
    4,519.23/8,662.57 = 8,662.57/x
  3. Step 3: Cross multiply
    4,519.23x = 8,662.57 × 8,662.57
  4. Step 4: Simplify right side
    4,519.23x = 75,040,124.42
  5. Step 5: Solve for x
    x = 75,040,124.42/4,519.23
  6. Step 6: Final answer
    x = 16,604.62

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.