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Finding the Third Proportional to 41.34 and 92.18

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Solution

The third proportional to 41.34 and 92.18 is: 205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 92.18 = 92.18 : x
  2. Step 2: Convert to fraction form
    41.34/92.18 = 92.18/x
  3. Step 3: Cross multiply
    41.34x = 92.18 × 92.18
  4. Step 4: Simplify right side
    41.34x = 8,497.09
  5. Step 5: Solve for x
    x = 8,497.09/41.34
  6. Step 6: Final answer
    x = 205.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.