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Finding the Third Proportional to 41.34 and 86.91

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Solution

The third proportional to 41.34 and 86.91 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 86.91 = 86.91 : x
  2. Step 2: Convert to fraction form
    41.34/86.91 = 86.91/x
  3. Step 3: Cross multiply
    41.34x = 86.91 × 86.91
  4. Step 4: Simplify right side
    41.34x = 7,552.70
  5. Step 5: Solve for x
    x = 7,552.70/41.34
  6. Step 6: Final answer
    x = 182.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.