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Finding the Third Proportional to 4,944.49 and 10,072.59

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Solution

The third proportional to 4,944.49 and 10,072.59 is: 20,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.49 : 10,072.59 = 10,072.59 : x
  2. Step 2: Convert to fraction form
    4,944.49/10,072.59 = 10,072.59/x
  3. Step 3: Cross multiply
    4,944.49x = 10,072.59 × 10,072.59
  4. Step 4: Simplify right side
    4,944.49x = 101,457,144.85
  5. Step 5: Solve for x
    x = 101,457,144.85/4,944.49
  6. Step 6: Final answer
    x = 20,519.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.