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Finding the Third Proportional to 9.66 and 22.22

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Solution

The third proportional to 9.66 and 22.22 is: 51.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 22.22 = 22.22 : x
  2. Step 2: Convert to fraction form
    9.66/22.22 = 22.22/x
  3. Step 3: Cross multiply
    9.66x = 22.22 × 22.22
  4. Step 4: Simplify right side
    9.66x = 493.67
  5. Step 5: Solve for x
    x = 493.67/9.66
  6. Step 6: Final answer
    x = 51.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.