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Finding the Third Proportional to 2,399.25 and 5,207.25

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Solution

The third proportional to 2,399.25 and 5,207.25 is: 11,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.25 : 5,207.25 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    2,399.25/5,207.25 = 5,207.25/x
  3. Step 3: Cross multiply
    2,399.25x = 5,207.25 × 5,207.25
  4. Step 4: Simplify right side
    2,399.25x = 27,115,452.56
  5. Step 5: Solve for x
    x = 27,115,452.56/2,399.25
  6. Step 6: Final answer
    x = 11,301.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.