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Finding the Third Proportional to 47.34 and 104.25

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Solution

The third proportional to 47.34 and 104.25 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 104.25 = 104.25 : x
  2. Step 2: Convert to fraction form
    47.34/104.25 = 104.25/x
  3. Step 3: Cross multiply
    47.34x = 104.25 × 104.25
  4. Step 4: Simplify right side
    47.34x = 10,868.06
  5. Step 5: Solve for x
    x = 10,868.06/47.34
  6. Step 6: Final answer
    x = 229.56

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