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Finding the Third Proportional to 9,757.97 and 19,455.19

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Solution

The third proportional to 9,757.97 and 19,455.19 is: 38,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.97 : 19,455.19 = 19,455.19 : x
  2. Step 2: Convert to fraction form
    9,757.97/19,455.19 = 19,455.19/x
  3. Step 3: Cross multiply
    9,757.97x = 19,455.19 × 19,455.19
  4. Step 4: Simplify right side
    9,757.97x = 378,504,320.66
  5. Step 5: Solve for x
    x = 378,504,320.66/9,757.97
  6. Step 6: Final answer
    x = 38,789.25

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.