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Finding the Third Proportional to 1,972.48 and 4,163.27

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Solution

The third proportional to 1,972.48 and 4,163.27 is: 8,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.48 : 4,163.27 = 4,163.27 : x
  2. Step 2: Convert to fraction form
    1,972.48/4,163.27 = 4,163.27/x
  3. Step 3: Cross multiply
    1,972.48x = 4,163.27 × 4,163.27
  4. Step 4: Simplify right side
    1,972.48x = 17,332,845.72
  5. Step 5: Solve for x
    x = 17,332,845.72/1,972.48
  6. Step 6: Final answer
    x = 8,787.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.