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Finding the Third Proportional to 47.44 and 104.34

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Solution

The third proportional to 47.44 and 104.34 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.44 : 104.34 = 104.34 : x
  2. Step 2: Convert to fraction form
    47.44/104.34 = 104.34/x
  3. Step 3: Cross multiply
    47.44x = 104.34 × 104.34
  4. Step 4: Simplify right side
    47.44x = 10,887.62
  5. Step 5: Solve for x
    x = 10,887.62/47.44
  6. Step 6: Final answer
    x = 229.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.