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Finding the Third Proportional to 47.67 and 104.34

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Solution

The third proportional to 47.67 and 104.34 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.67 : 104.34 = 104.34 : x
  2. Step 2: Convert to fraction form
    47.67/104.34 = 104.34/x
  3. Step 3: Cross multiply
    47.67x = 104.34 × 104.34
  4. Step 4: Simplify right side
    47.67x = 10,887.62
  5. Step 5: Solve for x
    x = 10,887.62/47.67
  6. Step 6: Final answer
    x = 228.39

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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.