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Finding the Third Proportional to 41.50 and 80.38

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Solution

The third proportional to 41.50 and 80.38 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.50 : 80.38 = 80.38 : x
  2. Step 2: Convert to fraction form
    41.50/80.38 = 80.38/x
  3. Step 3: Cross multiply
    41.50x = 80.38 × 80.38
  4. Step 4: Simplify right side
    41.50x = 6,460.14
  5. Step 5: Solve for x
    x = 6,460.14/41.50
  6. Step 6: Final answer
    x = 155.67

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.