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Finding the Third Proportional to 6,091.45 and 12,661.73

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Solution

The third proportional to 6,091.45 and 12,661.73 is: 26,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.45 : 12,661.73 = 12,661.73 : x
  2. Step 2: Convert to fraction form
    6,091.45/12,661.73 = 12,661.73/x
  3. Step 3: Cross multiply
    6,091.45x = 12,661.73 × 12,661.73
  4. Step 4: Simplify right side
    6,091.45x = 160,319,517.38
  5. Step 5: Solve for x
    x = 160,319,517.38/6,091.45
  6. Step 6: Final answer
    x = 26,318.76

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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.