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Finding the Third Proportional to 44.58 and 66.73

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Solution

The third proportional to 44.58 and 66.73 is: 99.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 66.73 = 66.73 : x
  2. Step 2: Convert to fraction form
    44.58/66.73 = 66.73/x
  3. Step 3: Cross multiply
    44.58x = 66.73 × 66.73
  4. Step 4: Simplify right side
    44.58x = 4,452.43
  5. Step 5: Solve for x
    x = 4,452.43/44.58
  6. Step 6: Final answer
    x = 99.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.