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Finding the Third Proportional to 19,028.25 and 43,854.75

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Solution

The third proportional to 19,028.25 and 43,854.75 is: 101,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,028.25 : 43,854.75 = 43,854.75 : x
  2. Step 2: Convert to fraction form
    19,028.25/43,854.75 = 43,854.75/x
  3. Step 3: Cross multiply
    19,028.25x = 43,854.75 × 43,854.75
  4. Step 4: Simplify right side
    19,028.25x = 1,923,239,097.56
  5. Step 5: Solve for x
    x = 1,923,239,097.56/19,028.25
  6. Step 6: Final answer
    x = 101,072.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.