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Finding the Third Proportional to 48.47 and 104.02

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Solution

The third proportional to 48.47 and 104.02 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.47 : 104.02 = 104.02 : x
  2. Step 2: Convert to fraction form
    48.47/104.02 = 104.02/x
  3. Step 3: Cross multiply
    48.47x = 104.02 × 104.02
  4. Step 4: Simplify right side
    48.47x = 10,819.25
  5. Step 5: Solve for x
    x = 10,819.25/48.47
  6. Step 6: Final answer
    x = 223.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.