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Finding the Third Proportional to 20 and 26.38

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Solution

The third proportional to 20 and 26.38 is: 34.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 26.38 = 26.38 : x
  2. Step 2: Convert to fraction form
    20/26.38 = 26.38/x
  3. Step 3: Cross multiply
    20x = 26.38 × 26.38
  4. Step 4: Simplify right side
    20x = 695.64
  5. Step 5: Solve for x
    x = 695.64/20
  6. Step 6: Final answer
    x = 34.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.