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Finding the Third Proportional to 20.41 and 30.59

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Solution

The third proportional to 20.41 and 30.59 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.41 : 30.59 = 30.59 : x
  2. Step 2: Convert to fraction form
    20.41/30.59 = 30.59/x
  3. Step 3: Cross multiply
    20.41x = 30.59 × 30.59
  4. Step 4: Simplify right side
    20.41x = 935.50
  5. Step 5: Solve for x
    x = 935.50/20.41
  6. Step 6: Final answer
    x = 45.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.