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Finding the Third Proportional to 14.21 and 20.90

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Solution

The third proportional to 14.21 and 20.90 is: 30.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.21 : 20.90 = 20.90 : x
  2. Step 2: Convert to fraction form
    14.21/20.90 = 20.90/x
  3. Step 3: Cross multiply
    14.21x = 20.90 × 20.90
  4. Step 4: Simplify right side
    14.21x = 437.00
  5. Step 5: Solve for x
    x = 437.00/14.21
  6. Step 6: Final answer
    x = 30.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.