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Finding the Third Proportional to 3,196.97 and 4,051.27

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Solution

The third proportional to 3,196.97 and 4,051.27 is: 5,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.97 : 4,051.27 = 4,051.27 : x
  2. Step 2: Convert to fraction form
    3,196.97/4,051.27 = 4,051.27/x
  3. Step 3: Cross multiply
    3,196.97x = 4,051.27 × 4,051.27
  4. Step 4: Simplify right side
    3,196.97x = 16,412,753.16
  5. Step 5: Solve for x
    x = 16,412,753.16/3,196.97
  6. Step 6: Final answer
    x = 5,133.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.