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Finding the Third Proportional to 22.33 and 47.66

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Solution

The third proportional to 22.33 and 47.66 is: 101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.33 : 47.66 = 47.66 : x
  2. Step 2: Convert to fraction form
    22.33/47.66 = 47.66/x
  3. Step 3: Cross multiply
    22.33x = 47.66 × 47.66
  4. Step 4: Simplify right side
    22.33x = 2,271.86
  5. Step 5: Solve for x
    x = 2,271.86/22.33
  6. Step 6: Final answer
    x = 101.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.