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Finding the Third Proportional to 41.06 and 62.34

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Solution

The third proportional to 41.06 and 62.34 is: 94.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 62.34 = 62.34 : x
  2. Step 2: Convert to fraction form
    41.06/62.34 = 62.34/x
  3. Step 3: Cross multiply
    41.06x = 62.34 × 62.34
  4. Step 4: Simplify right side
    41.06x = 3,886.74
  5. Step 5: Solve for x
    x = 3,886.74/41.06
  6. Step 6: Final answer
    x = 94.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.