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Finding the Third Proportional to 9,082.24 and 18,942.97

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Solution

The third proportional to 9,082.24 and 18,942.97 is: 39,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.24 : 18,942.97 = 18,942.97 : x
  2. Step 2: Convert to fraction form
    9,082.24/18,942.97 = 18,942.97/x
  3. Step 3: Cross multiply
    9,082.24x = 18,942.97 × 18,942.97
  4. Step 4: Simplify right side
    9,082.24x = 358,835,935.57
  5. Step 5: Solve for x
    x = 358,835,935.57/9,082.24
  6. Step 6: Final answer
    x = 39,509.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.