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Finding the Third Proportional to 4,939.97 and 10,033.72

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Solution

The third proportional to 4,939.97 and 10,033.72 is: 20,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.97 : 10,033.72 = 10,033.72 : x
  2. Step 2: Convert to fraction form
    4,939.97/10,033.72 = 10,033.72/x
  3. Step 3: Cross multiply
    4,939.97x = 10,033.72 × 10,033.72
  4. Step 4: Simplify right side
    4,939.97x = 100,675,472.76
  5. Step 5: Solve for x
    x = 100,675,472.76/4,939.97
  6. Step 6: Final answer
    x = 20,379.77

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.