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Finding the Third Proportional to 20,048.25 and 43,854.75

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Solution

The third proportional to 20,048.25 and 43,854.75 is: 95,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.25 : 43,854.75 = 43,854.75 : x
  2. Step 2: Convert to fraction form
    20,048.25/43,854.75 = 43,854.75/x
  3. Step 3: Cross multiply
    20,048.25x = 43,854.75 × 43,854.75
  4. Step 4: Simplify right side
    20,048.25x = 1,923,239,097.56
  5. Step 5: Solve for x
    x = 1,923,239,097.56/20,048.25
  6. Step 6: Final answer
    x = 95,930.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.