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Finding the Third Proportional to 9,183.38 and 19,924.88

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Solution

The third proportional to 9,183.38 and 19,924.88 is: 43,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.38 : 19,924.88 = 19,924.88 : x
  2. Step 2: Convert to fraction form
    9,183.38/19,924.88 = 19,924.88/x
  3. Step 3: Cross multiply
    9,183.38x = 19,924.88 × 19,924.88
  4. Step 4: Simplify right side
    9,183.38x = 397,000,643.77
  5. Step 5: Solve for x
    x = 397,000,643.77/9,183.38
  6. Step 6: Final answer
    x = 43,230.36

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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.