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Finding the Third Proportional to 957.25 and 2,067.25

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Solution

The third proportional to 957.25 and 2,067.25 is: 4,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.25 : 2,067.25 = 2,067.25 : x
  2. Step 2: Convert to fraction form
    957.25/2,067.25 = 2,067.25/x
  3. Step 3: Cross multiply
    957.25x = 2,067.25 × 2,067.25
  4. Step 4: Simplify right side
    957.25x = 4,273,522.56
  5. Step 5: Solve for x
    x = 4,273,522.56/957.25
  6. Step 6: Final answer
    x = 4,464.37

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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.