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Finding the Third Proportional to 41.06 and 58.22

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Solution

The third proportional to 41.06 and 58.22 is: 82.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 58.22 = 58.22 : x
  2. Step 2: Convert to fraction form
    41.06/58.22 = 58.22/x
  3. Step 3: Cross multiply
    41.06x = 58.22 × 58.22
  4. Step 4: Simplify right side
    41.06x = 3,389.42
  5. Step 5: Solve for x
    x = 3,389.42/41.06
  6. Step 6: Final answer
    x = 82.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.