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Finding the Third Proportional to 6,091.88 and 12,662.44

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Solution

The third proportional to 6,091.88 and 12,662.44 is: 26,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.88 : 12,662.44 = 12,662.44 : x
  2. Step 2: Convert to fraction form
    6,091.88/12,662.44 = 12,662.44/x
  3. Step 3: Cross multiply
    6,091.88x = 12,662.44 × 12,662.44
  4. Step 4: Simplify right side
    6,091.88x = 160,337,323.44
  5. Step 5: Solve for x
    x = 160,337,323.44/6,091.88
  6. Step 6: Final answer
    x = 26,319.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.