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Finding the Third Proportional to 3,472.45 and 3,843.28

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Solution

The third proportional to 3,472.45 and 3,843.28 is: 4,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.45 : 3,843.28 = 3,843.28 : x
  2. Step 2: Convert to fraction form
    3,472.45/3,843.28 = 3,843.28/x
  3. Step 3: Cross multiply
    3,472.45x = 3,843.28 × 3,843.28
  4. Step 4: Simplify right side
    3,472.45x = 14,770,810.77
  5. Step 5: Solve for x
    x = 14,770,810.77/3,472.45
  6. Step 6: Final answer
    x = 4,253.71

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.