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Finding the Third Proportional to 38.21 and 78.63

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Solution

The third proportional to 38.21 and 78.63 is: 161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.21 : 78.63 = 78.63 : x
  2. Step 2: Convert to fraction form
    38.21/78.63 = 78.63/x
  3. Step 3: Cross multiply
    38.21x = 78.63 × 78.63
  4. Step 4: Simplify right side
    38.21x = 6,182.20
  5. Step 5: Solve for x
    x = 6,182.20/38.21
  6. Step 6: Final answer
    x = 161.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.