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Finding the Third Proportional to 10.71 and 22.66

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Solution

The third proportional to 10.71 and 22.66 is: 47.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 22.66 = 22.66 : x
  2. Step 2: Convert to fraction form
    10.71/22.66 = 22.66/x
  3. Step 3: Cross multiply
    10.71x = 22.66 × 22.66
  4. Step 4: Simplify right side
    10.71x = 513.66
  5. Step 5: Solve for x
    x = 513.66/10.71
  6. Step 6: Final answer
    x = 47.96

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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.