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Finding the Third Proportional to 9.54 and 20.20

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Solution

The third proportional to 9.54 and 20.20 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.54 : 20.20 = 20.20 : x
  2. Step 2: Convert to fraction form
    9.54/20.20 = 20.20/x
  3. Step 3: Cross multiply
    9.54x = 20.20 × 20.20
  4. Step 4: Simplify right side
    9.54x = 407.95
  5. Step 5: Solve for x
    x = 407.95/9.54
  6. Step 6: Final answer
    x = 42.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.