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Finding the Third Proportional to 3,234.94 and 6,141.45

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Solution

The third proportional to 3,234.94 and 6,141.45 is: 11,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 6,141.45 = 6,141.45 : x
  2. Step 2: Convert to fraction form
    3,234.94/6,141.45 = 6,141.45/x
  3. Step 3: Cross multiply
    3,234.94x = 6,141.45 × 6,141.45
  4. Step 4: Simplify right side
    3,234.94x = 37,717,350.53
  5. Step 5: Solve for x
    x = 37,717,350.53/3,234.94
  6. Step 6: Final answer
    x = 11,659.38

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.