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Finding the Third Proportional to 9,198.28 and 19,866.38

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Solution

The third proportional to 9,198.28 and 19,866.38 is: 42,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.28 : 19,866.38 = 19,866.38 : x
  2. Step 2: Convert to fraction form
    9,198.28/19,866.38 = 19,866.38/x
  3. Step 3: Cross multiply
    9,198.28x = 19,866.38 × 19,866.38
  4. Step 4: Simplify right side
    9,198.28x = 394,672,855.64
  5. Step 5: Solve for x
    x = 394,672,855.64/9,198.28
  6. Step 6: Final answer
    x = 42,907.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.