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Finding the Third Proportional to 8,121.94 and 17,452.55

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Solution

The third proportional to 8,121.94 and 17,452.55 is: 37,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.94 : 17,452.55 = 17,452.55 : x
  2. Step 2: Convert to fraction form
    8,121.94/17,452.55 = 17,452.55/x
  3. Step 3: Cross multiply
    8,121.94x = 17,452.55 × 17,452.55
  4. Step 4: Simplify right side
    8,121.94x = 304,591,392.42
  5. Step 5: Solve for x
    x = 304,591,392.42/8,121.94
  6. Step 6: Final answer
    x = 37,502.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.