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Finding the Third Proportional to 3,953.50 and 8,452.79

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Solution

The third proportional to 3,953.50 and 8,452.79 is: 18,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.50 : 8,452.79 = 8,452.79 : x
  2. Step 2: Convert to fraction form
    3,953.50/8,452.79 = 8,452.79/x
  3. Step 3: Cross multiply
    3,953.50x = 8,452.79 × 8,452.79
  4. Step 4: Simplify right side
    3,953.50x = 71,449,708.97
  5. Step 5: Solve for x
    x = 71,449,708.97/3,953.50
  6. Step 6: Final answer
    x = 18,072.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.