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Finding the Third Proportional to 48.44 and 104.56

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Solution

The third proportional to 48.44 and 104.56 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 104.56 = 104.56 : x
  2. Step 2: Convert to fraction form
    48.44/104.56 = 104.56/x
  3. Step 3: Cross multiply
    48.44x = 104.56 × 104.56
  4. Step 4: Simplify right side
    48.44x = 10,933.32
  5. Step 5: Solve for x
    x = 10,933.32/48.44
  6. Step 6: Final answer
    x = 225.72

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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.