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Finding the Third Proportional to 14.00 and 20.41

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Solution

The third proportional to 14.00 and 20.41 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 20.41 = 20.41 : x
  2. Step 2: Convert to fraction form
    14.00/20.41 = 20.41/x
  3. Step 3: Cross multiply
    14.00x = 20.41 × 20.41
  4. Step 4: Simplify right side
    14.00x = 416.49
  5. Step 5: Solve for x
    x = 416.49/14.00
  6. Step 6: Final answer
    x = 29.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.