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Finding the Third Proportional to 15.30 and 20.78

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Solution

The third proportional to 15.30 and 20.78 is: 28.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.30 : 20.78 = 20.78 : x
  2. Step 2: Convert to fraction form
    15.30/20.78 = 20.78/x
  3. Step 3: Cross multiply
    15.30x = 20.78 × 20.78
  4. Step 4: Simplify right side
    15.30x = 431.70
  5. Step 5: Solve for x
    x = 431.70/15.30
  6. Step 6: Final answer
    x = 28.22

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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.