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Finding the Third Proportional to 30.23 and 43.73

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Solution

The third proportional to 30.23 and 43.73 is: 63.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 43.73 = 43.73 : x
  2. Step 2: Convert to fraction form
    30.23/43.73 = 43.73/x
  3. Step 3: Cross multiply
    30.23x = 43.73 × 43.73
  4. Step 4: Simplify right side
    30.23x = 1,912.70
  5. Step 5: Solve for x
    x = 1,912.70/30.23
  6. Step 6: Final answer
    x = 63.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.