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Finding the Third Proportional to 44.69 and 94.44

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Solution

The third proportional to 44.69 and 94.44 is: 199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.69 : 94.44 = 94.44 : x
  2. Step 2: Convert to fraction form
    44.69/94.44 = 94.44/x
  3. Step 3: Cross multiply
    44.69x = 94.44 × 94.44
  4. Step 4: Simplify right side
    44.69x = 8,918.44
  5. Step 5: Solve for x
    x = 8,918.44/44.69
  6. Step 6: Final answer
    x = 199.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.