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Finding the Third Proportional to 47.97 and 103.44

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Solution

The third proportional to 47.97 and 103.44 is: 223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 103.44 = 103.44 : x
  2. Step 2: Convert to fraction form
    47.97/103.44 = 103.44/x
  3. Step 3: Cross multiply
    47.97x = 103.44 × 103.44
  4. Step 4: Simplify right side
    47.97x = 10,699.32
  5. Step 5: Solve for x
    x = 10,699.32/47.97
  6. Step 6: Final answer
    x = 223.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.