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Finding the Third Proportional to 3,045.94 and 4,092.19

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Solution

The third proportional to 3,045.94 and 4,092.19 is: 5,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.94 : 4,092.19 = 4,092.19 : x
  2. Step 2: Convert to fraction form
    3,045.94/4,092.19 = 4,092.19/x
  3. Step 3: Cross multiply
    3,045.94x = 4,092.19 × 4,092.19
  4. Step 4: Simplify right side
    3,045.94x = 16,745,998.54
  5. Step 5: Solve for x
    x = 16,745,998.54/3,045.94
  6. Step 6: Final answer
    x = 5,497.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.