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Finding the Third Proportional to 47.13 and 103.25

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Solution

The third proportional to 47.13 and 103.25 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 103.25 = 103.25 : x
  2. Step 2: Convert to fraction form
    47.13/103.25 = 103.25/x
  3. Step 3: Cross multiply
    47.13x = 103.25 × 103.25
  4. Step 4: Simplify right side
    47.13x = 10,660.56
  5. Step 5: Solve for x
    x = 10,660.56/47.13
  6. Step 6: Final answer
    x = 226.22

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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.