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Finding the Third Proportional to 4,519.62 and 9,816.64

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Solution

The third proportional to 4,519.62 and 9,816.64 is: 21,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.62 : 9,816.64 = 9,816.64 : x
  2. Step 2: Convert to fraction form
    4,519.62/9,816.64 = 9,816.64/x
  3. Step 3: Cross multiply
    4,519.62x = 9,816.64 × 9,816.64
  4. Step 4: Simplify right side
    4,519.62x = 96,366,509.85
  5. Step 5: Solve for x
    x = 96,366,509.85/4,519.62
  6. Step 6: Final answer
    x = 21,321.83

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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.