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Finding the Third Proportional to 41.78 and 62.84

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Solution

The third proportional to 41.78 and 62.84 is: 94.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 62.84 = 62.84 : x
  2. Step 2: Convert to fraction form
    41.78/62.84 = 62.84/x
  3. Step 3: Cross multiply
    41.78x = 62.84 × 62.84
  4. Step 4: Simplify right side
    41.78x = 3,949.34
  5. Step 5: Solve for x
    x = 3,949.34/41.78
  6. Step 6: Final answer
    x = 94.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.