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Finding the Third Proportional to 20.98 and 43.27

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Solution

The third proportional to 20.98 and 43.27 is: 89.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.98 : 43.27 = 43.27 : x
  2. Step 2: Convert to fraction form
    20.98/43.27 = 43.27/x
  3. Step 3: Cross multiply
    20.98x = 43.27 × 43.27
  4. Step 4: Simplify right side
    20.98x = 1,871.91
  5. Step 5: Solve for x
    x = 1,871.91/20.98
  6. Step 6: Final answer
    x = 89.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.