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Finding the Third Proportional to 20.67 and 30.80

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Solution

The third proportional to 20.67 and 30.80 is: 45.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.67 : 30.80 = 30.80 : x
  2. Step 2: Convert to fraction form
    20.67/30.80 = 30.80/x
  3. Step 3: Cross multiply
    20.67x = 30.80 × 30.80
  4. Step 4: Simplify right side
    20.67x = 948.45
  5. Step 5: Solve for x
    x = 948.45/20.67
  6. Step 6: Final answer
    x = 45.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.