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Finding the Third Proportional to 37.41 and 81.77

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Solution

The third proportional to 37.41 and 81.77 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.41 : 81.77 = 81.77 : x
  2. Step 2: Convert to fraction form
    37.41/81.77 = 81.77/x
  3. Step 3: Cross multiply
    37.41x = 81.77 × 81.77
  4. Step 4: Simplify right side
    37.41x = 6,686.90
  5. Step 5: Solve for x
    x = 6,686.90/37.41
  6. Step 6: Final answer
    x = 178.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.