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Finding the Third Proportional to 3,194.56 and 4,893.13

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Solution

The third proportional to 3,194.56 and 4,893.13 is: 7,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.56 : 4,893.13 = 4,893.13 : x
  2. Step 2: Convert to fraction form
    3,194.56/4,893.13 = 4,893.13/x
  3. Step 3: Cross multiply
    3,194.56x = 4,893.13 × 4,893.13
  4. Step 4: Simplify right side
    3,194.56x = 23,942,672.27
  5. Step 5: Solve for x
    x = 23,942,672.27/3,194.56
  6. Step 6: Final answer
    x = 7,494.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.