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Finding the Third Proportional to 6,252.19 and 13,771.27

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Solution

The third proportional to 6,252.19 and 13,771.27 is: 30,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.19 : 13,771.27 = 13,771.27 : x
  2. Step 2: Convert to fraction form
    6,252.19/13,771.27 = 13,771.27/x
  3. Step 3: Cross multiply
    6,252.19x = 13,771.27 × 13,771.27
  4. Step 4: Simplify right side
    6,252.19x = 189,647,756.91
  5. Step 5: Solve for x
    x = 189,647,756.91/6,252.19
  6. Step 6: Final answer
    x = 30,333.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.