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Finding the Third Proportional to 9.61 and 20.42

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Solution

The third proportional to 9.61 and 20.42 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.61 : 20.42 = 20.42 : x
  2. Step 2: Convert to fraction form
    9.61/20.42 = 20.42/x
  3. Step 3: Cross multiply
    9.61x = 20.42 × 20.42
  4. Step 4: Simplify right side
    9.61x = 417.10
  5. Step 5: Solve for x
    x = 417.10/9.61
  6. Step 6: Final answer
    x = 43.40

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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.