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Finding the Third Proportional to 3,441.66 and 6,609.94

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Solution

The third proportional to 3,441.66 and 6,609.94 is: 12,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.66 : 6,609.94 = 6,609.94 : x
  2. Step 2: Convert to fraction form
    3,441.66/6,609.94 = 6,609.94/x
  3. Step 3: Cross multiply
    3,441.66x = 6,609.94 × 6,609.94
  4. Step 4: Simplify right side
    3,441.66x = 43,691,273.75
  5. Step 5: Solve for x
    x = 43,691,273.75/3,441.66
  6. Step 6: Final answer
    x = 12,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.