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Finding the Third Proportional to 9.66 and 20.63

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Solution

The third proportional to 9.66 and 20.63 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 20.63 = 20.63 : x
  2. Step 2: Convert to fraction form
    9.66/20.63 = 20.63/x
  3. Step 3: Cross multiply
    9.66x = 20.63 × 20.63
  4. Step 4: Simplify right side
    9.66x = 425.39
  5. Step 5: Solve for x
    x = 425.39/9.66
  6. Step 6: Final answer
    x = 44.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.