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Finding the Third Proportional to 41.06 and 63.84

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Solution

The third proportional to 41.06 and 63.84 is: 99.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 63.84 = 63.84 : x
  2. Step 2: Convert to fraction form
    41.06/63.84 = 63.84/x
  3. Step 3: Cross multiply
    41.06x = 63.84 × 63.84
  4. Step 4: Simplify right side
    41.06x = 4,076.02
  5. Step 5: Solve for x
    x = 4,076.02/41.06
  6. Step 6: Final answer
    x = 99.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.