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Finding the Third Proportional to 43.25 and 72.88

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Solution

The third proportional to 43.25 and 72.88 is: 122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.25 : 72.88 = 72.88 : x
  2. Step 2: Convert to fraction form
    43.25/72.88 = 72.88/x
  3. Step 3: Cross multiply
    43.25x = 72.88 × 72.88
  4. Step 4: Simplify right side
    43.25x = 5,310.77
  5. Step 5: Solve for x
    x = 5,310.77/43.25
  6. Step 6: Final answer
    x = 122.79

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.