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Finding the Third Proportional to 3,469.71 and 7,372.27

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Solution

The third proportional to 3,469.71 and 7,372.27 is: 15,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.71 : 7,372.27 = 7,372.27 : x
  2. Step 2: Convert to fraction form
    3,469.71/7,372.27 = 7,372.27/x
  3. Step 3: Cross multiply
    3,469.71x = 7,372.27 × 7,372.27
  4. Step 4: Simplify right side
    3,469.71x = 54,350,300.45
  5. Step 5: Solve for x
    x = 54,350,300.45/3,469.71
  6. Step 6: Final answer
    x = 15,664.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.