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Finding the Third Proportional to 20.54 and 44.31

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Solution

The third proportional to 20.54 and 44.31 is: 95.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.54 : 44.31 = 44.31 : x
  2. Step 2: Convert to fraction form
    20.54/44.31 = 44.31/x
  3. Step 3: Cross multiply
    20.54x = 44.31 × 44.31
  4. Step 4: Simplify right side
    20.54x = 1,963.60
  5. Step 5: Solve for x
    x = 1,963.60/20.54
  6. Step 6: Final answer
    x = 95.58

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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.