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Finding the Third Proportional to 41.77 and 74.67

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Solution

The third proportional to 41.77 and 74.67 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 74.67 = 74.67 : x
  2. Step 2: Convert to fraction form
    41.77/74.67 = 74.67/x
  3. Step 3: Cross multiply
    41.77x = 74.67 × 74.67
  4. Step 4: Simplify right side
    41.77x = 5,575.89
  5. Step 5: Solve for x
    x = 5,575.89/41.77
  6. Step 6: Final answer
    x = 133.50

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.