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Finding the Third Proportional to 38.50 and 41

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Solution

The third proportional to 38.50 and 41 is: 43.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.50 : 41 = 41 : x
  2. Step 2: Convert to fraction form
    38.50/41 = 41/x
  3. Step 3: Cross multiply
    38.50x = 41 × 41
  4. Step 4: Simplify right side
    38.50x = 1,681
  5. Step 5: Solve for x
    x = 1,681/38.50
  6. Step 6: Final answer
    x = 43.66

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.