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Finding the Third Proportional to 43.37 and 69.86

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Solution

The third proportional to 43.37 and 69.86 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.37 : 69.86 = 69.86 : x
  2. Step 2: Convert to fraction form
    43.37/69.86 = 69.86/x
  3. Step 3: Cross multiply
    43.37x = 69.86 × 69.86
  4. Step 4: Simplify right side
    43.37x = 4,879.79
  5. Step 5: Solve for x
    x = 4,879.79/43.37
  6. Step 6: Final answer
    x = 112.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.