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Finding the Third Proportional to 43.98 and 82.97

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Solution

The third proportional to 43.98 and 82.97 is: 156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.98 : 82.97 = 82.97 : x
  2. Step 2: Convert to fraction form
    43.98/82.97 = 82.97/x
  3. Step 3: Cross multiply
    43.98x = 82.97 × 82.97
  4. Step 4: Simplify right side
    43.98x = 6,883.81
  5. Step 5: Solve for x
    x = 6,883.81/43.98
  6. Step 6: Final answer
    x = 156.52

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.