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Finding the Third Proportional to 20.30 and 47.37

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Solution

The third proportional to 20.30 and 47.37 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.30 : 47.37 = 47.37 : x
  2. Step 2: Convert to fraction form
    20.30/47.37 = 47.37/x
  3. Step 3: Cross multiply
    20.30x = 47.37 × 47.37
  4. Step 4: Simplify right side
    20.30x = 2,243.65
  5. Step 5: Solve for x
    x = 2,243.65/20.30
  6. Step 6: Final answer
    x = 110.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.