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Finding the Third Proportional to 15.42 and 20.96

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Solution

The third proportional to 15.42 and 20.96 is: 28.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 20.96 = 20.96 : x
  2. Step 2: Convert to fraction form
    15.42/20.96 = 20.96/x
  3. Step 3: Cross multiply
    15.42x = 20.96 × 20.96
  4. Step 4: Simplify right side
    15.42x = 439.40
  5. Step 5: Solve for x
    x = 439.40/15.42
  6. Step 6: Final answer
    x = 28.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.