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Finding the Third Proportional to 37.63 and 81.91

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Solution

The third proportional to 37.63 and 81.91 is: 178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.63 : 81.91 = 81.91 : x
  2. Step 2: Convert to fraction form
    37.63/81.91 = 81.91/x
  3. Step 3: Cross multiply
    37.63x = 81.91 × 81.91
  4. Step 4: Simplify right side
    37.63x = 6,708.63
  5. Step 5: Solve for x
    x = 6,708.63/37.63
  6. Step 6: Final answer
    x = 178.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.