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Finding the Third Proportional to 48.28 and 103.41

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Solution

The third proportional to 48.28 and 103.41 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 103.41 = 103.41 : x
  2. Step 2: Convert to fraction form
    48.28/103.41 = 103.41/x
  3. Step 3: Cross multiply
    48.28x = 103.41 × 103.41
  4. Step 4: Simplify right side
    48.28x = 10,692.85
  5. Step 5: Solve for x
    x = 10,692.85/48.28
  6. Step 6: Final answer
    x = 221.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.