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Finding the Third Proportional to 41.56 and 63.66

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Solution

The third proportional to 41.56 and 63.66 is: 97.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.56 : 63.66 = 63.66 : x
  2. Step 2: Convert to fraction form
    41.56/63.66 = 63.66/x
  3. Step 3: Cross multiply
    41.56x = 63.66 × 63.66
  4. Step 4: Simplify right side
    41.56x = 4,052.12
  5. Step 5: Solve for x
    x = 4,052.12/41.56
  6. Step 6: Final answer
    x = 97.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.