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Finding the Third Proportional to 22.92 and 41.55

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Solution

The third proportional to 22.92 and 41.55 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.92 : 41.55 = 41.55 : x
  2. Step 2: Convert to fraction form
    22.92/41.55 = 41.55/x
  3. Step 3: Cross multiply
    22.92x = 41.55 × 41.55
  4. Step 4: Simplify right side
    22.92x = 1,726.79
  5. Step 5: Solve for x
    x = 1,726.79/22.92
  6. Step 6: Final answer
    x = 75.33

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.