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Finding the Third Proportional to 3,351.94 and 7,149.09

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Solution

The third proportional to 3,351.94 and 7,149.09 is: 15,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.94 : 7,149.09 = 7,149.09 : x
  2. Step 2: Convert to fraction form
    3,351.94/7,149.09 = 7,149.09/x
  3. Step 3: Cross multiply
    3,351.94x = 7,149.09 × 7,149.09
  4. Step 4: Simplify right side
    3,351.94x = 51,109,541.45
  5. Step 5: Solve for x
    x = 51,109,541.45/3,351.94
  6. Step 6: Final answer
    x = 15,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.