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Finding the Third Proportional to 43.97 and 60.42

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Solution

The third proportional to 43.97 and 60.42 is: 83.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 60.42 = 60.42 : x
  2. Step 2: Convert to fraction form
    43.97/60.42 = 60.42/x
  3. Step 3: Cross multiply
    43.97x = 60.42 × 60.42
  4. Step 4: Simplify right side
    43.97x = 3,650.80
  5. Step 5: Solve for x
    x = 3,650.80/43.97
  6. Step 6: Final answer
    x = 83.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.