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Finding the Third Proportional to 3,072.94 and 4,091.13

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Solution

The third proportional to 3,072.94 and 4,091.13 is: 5,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 4,091.13 = 4,091.13 : x
  2. Step 2: Convert to fraction form
    3,072.94/4,091.13 = 4,091.13/x
  3. Step 3: Cross multiply
    3,072.94x = 4,091.13 × 4,091.13
  4. Step 4: Simplify right side
    3,072.94x = 16,737,367.69
  5. Step 5: Solve for x
    x = 16,737,367.69/3,072.94
  6. Step 6: Final answer
    x = 5,446.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.