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Finding the Third Proportional to 4,203.75 and 9,184.75

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Solution

The third proportional to 4,203.75 and 9,184.75 is: 20,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.75 : 9,184.75 = 9,184.75 : x
  2. Step 2: Convert to fraction form
    4,203.75/9,184.75 = 9,184.75/x
  3. Step 3: Cross multiply
    4,203.75x = 9,184.75 × 9,184.75
  4. Step 4: Simplify right side
    4,203.75x = 84,359,632.56
  5. Step 5: Solve for x
    x = 84,359,632.56/4,203.75
  6. Step 6: Final answer
    x = 20,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.