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Finding the Third Proportional to 2,238.75 and 4,143.38

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Solution

The third proportional to 2,238.75 and 4,143.38 is: 7,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.75 : 4,143.38 = 4,143.38 : x
  2. Step 2: Convert to fraction form
    2,238.75/4,143.38 = 4,143.38/x
  3. Step 3: Cross multiply
    2,238.75x = 4,143.38 × 4,143.38
  4. Step 4: Simplify right side
    2,238.75x = 17,167,556.39
  5. Step 5: Solve for x
    x = 17,167,556.39/2,238.75
  6. Step 6: Final answer
    x = 7,668.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.