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Finding the Third Proportional to 20.57 and 42.08

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Solution

The third proportional to 20.57 and 42.08 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 42.08 = 42.08 : x
  2. Step 2: Convert to fraction form
    20.57/42.08 = 42.08/x
  3. Step 3: Cross multiply
    20.57x = 42.08 × 42.08
  4. Step 4: Simplify right side
    20.57x = 1,770.90
  5. Step 5: Solve for x
    x = 1,770.90/20.57
  6. Step 6: Final answer
    x = 86.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.