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Finding the Third Proportional to 47.62 and 104.10

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Solution

The third proportional to 47.62 and 104.10 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.62 : 104.10 = 104.10 : x
  2. Step 2: Convert to fraction form
    47.62/104.10 = 104.10/x
  3. Step 3: Cross multiply
    47.62x = 104.10 × 104.10
  4. Step 4: Simplify right side
    47.62x = 10,836.32
  5. Step 5: Solve for x
    x = 10,836.32/47.62
  6. Step 6: Final answer
    x = 227.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.