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Finding the Third Proportional to 62.02 and 80.37

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Solution

The third proportional to 62.02 and 80.37 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.02 : 80.37 = 80.37 : x
  2. Step 2: Convert to fraction form
    62.02/80.37 = 80.37/x
  3. Step 3: Cross multiply
    62.02x = 80.37 × 80.37
  4. Step 4: Simplify right side
    62.02x = 6,458.88
  5. Step 5: Solve for x
    x = 6,458.88/62.02
  6. Step 6: Final answer
    x = 104.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.