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Finding the Third Proportional to 4,512 and 10,067.25

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Solution

The third proportional to 4,512 and 10,067.25 is: 22,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512 : 10,067.25 = 10,067.25 : x
  2. Step 2: Convert to fraction form
    4,512/10,067.25 = 10,067.25/x
  3. Step 3: Cross multiply
    4,512x = 10,067.25 × 10,067.25
  4. Step 4: Simplify right side
    4,512x = 101,349,522.56
  5. Step 5: Solve for x
    x = 101,349,522.56/4,512
  6. Step 6: Final answer
    x = 22,462.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.