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Finding the Third Proportional to 9,107.25 and 19,917.75

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Solution

The third proportional to 9,107.25 and 19,917.75 is: 43,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.25 : 19,917.75 = 19,917.75 : x
  2. Step 2: Convert to fraction form
    9,107.25/19,917.75 = 19,917.75/x
  3. Step 3: Cross multiply
    9,107.25x = 19,917.75 × 19,917.75
  4. Step 4: Simplify right side
    9,107.25x = 396,716,765.06
  5. Step 5: Solve for x
    x = 396,716,765.06/9,107.25
  6. Step 6: Final answer
    x = 43,560.54

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Why These Related Problems?

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