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Finding the Third Proportional to 20.53 and 44.16

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Solution

The third proportional to 20.53 and 44.16 is: 94.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 44.16 = 44.16 : x
  2. Step 2: Convert to fraction form
    20.53/44.16 = 44.16/x
  3. Step 3: Cross multiply
    20.53x = 44.16 × 44.16
  4. Step 4: Simplify right side
    20.53x = 1,949.77
  5. Step 5: Solve for x
    x = 1,949.77/20.53
  6. Step 6: Final answer
    x = 94.97

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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.