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Finding the Third Proportional to 20.27 and 44.60

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Solution

The third proportional to 20.27 and 44.60 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.27 : 44.60 = 44.60 : x
  2. Step 2: Convert to fraction form
    20.27/44.60 = 44.60/x
  3. Step 3: Cross multiply
    20.27x = 44.60 × 44.60
  4. Step 4: Simplify right side
    20.27x = 1,989.19
  5. Step 5: Solve for x
    x = 1,989.19/20.27
  6. Step 6: Final answer
    x = 98.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.