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Finding the Third Proportional to 3,771.56 and 8,517.66

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Solution

The third proportional to 3,771.56 and 8,517.66 is: 19,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.56 : 8,517.66 = 8,517.66 : x
  2. Step 2: Convert to fraction form
    3,771.56/8,517.66 = 8,517.66/x
  3. Step 3: Cross multiply
    3,771.56x = 8,517.66 × 8,517.66
  4. Step 4: Simplify right side
    3,771.56x = 72,550,467.99
  5. Step 5: Solve for x
    x = 72,550,467.99/3,771.56
  6. Step 6: Final answer
    x = 19,236.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.