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Finding the Third Proportional to 20.28 and 28.94

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Solution

The third proportional to 20.28 and 28.94 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.28 : 28.94 = 28.94 : x
  2. Step 2: Convert to fraction form
    20.28/28.94 = 28.94/x
  3. Step 3: Cross multiply
    20.28x = 28.94 × 28.94
  4. Step 4: Simplify right side
    20.28x = 837.38
  5. Step 5: Solve for x
    x = 837.38/20.28
  6. Step 6: Final answer
    x = 41.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.