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Finding the Third Proportional to 48.28 and 104.16

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Solution

The third proportional to 48.28 and 104.16 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 104.16 = 104.16 : x
  2. Step 2: Convert to fraction form
    48.28/104.16 = 104.16/x
  3. Step 3: Cross multiply
    48.28x = 104.16 × 104.16
  4. Step 4: Simplify right side
    48.28x = 10,848.52
  5. Step 5: Solve for x
    x = 10,848.52/48.28
  6. Step 6: Final answer
    x = 224.69

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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.