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Finding the Third Proportional to 20.82 and 44.49

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Solution

The third proportional to 20.82 and 44.49 is: 95.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 44.49 = 44.49 : x
  2. Step 2: Convert to fraction form
    20.82/44.49 = 44.49/x
  3. Step 3: Cross multiply
    20.82x = 44.49 × 44.49
  4. Step 4: Simplify right side
    20.82x = 1,979.77
  5. Step 5: Solve for x
    x = 1,979.77/20.82
  6. Step 6: Final answer
    x = 95.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.