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Finding the Third Proportional to 6,226.88 and 13,137.19

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Solution

The third proportional to 6,226.88 and 13,137.19 is: 27,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.88 : 13,137.19 = 13,137.19 : x
  2. Step 2: Convert to fraction form
    6,226.88/13,137.19 = 13,137.19/x
  3. Step 3: Cross multiply
    6,226.88x = 13,137.19 × 13,137.19
  4. Step 4: Simplify right side
    6,226.88x = 172,585,695.41
  5. Step 5: Solve for x
    x = 172,585,695.41/6,226.88
  6. Step 6: Final answer
    x = 27,716.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.