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Finding the Third Proportional to 47.44 and 104.11

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Solution

The third proportional to 47.44 and 104.11 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.44 : 104.11 = 104.11 : x
  2. Step 2: Convert to fraction form
    47.44/104.11 = 104.11/x
  3. Step 3: Cross multiply
    47.44x = 104.11 × 104.11
  4. Step 4: Simplify right side
    47.44x = 10,838.76
  5. Step 5: Solve for x
    x = 10,838.76/47.44
  6. Step 6: Final answer
    x = 228.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.