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Finding the Third Proportional to 44.09 and 94.39

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Solution

The third proportional to 44.09 and 94.39 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 94.39 = 94.39 : x
  2. Step 2: Convert to fraction form
    44.09/94.39 = 94.39/x
  3. Step 3: Cross multiply
    44.09x = 94.39 × 94.39
  4. Step 4: Simplify right side
    44.09x = 8,910.33
  5. Step 5: Solve for x
    x = 8,910.33/44.09
  6. Step 6: Final answer
    x = 202.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.