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Finding the Third Proportional to 28.73 and 43.01

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Solution

The third proportional to 28.73 and 43.01 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.73 : 43.01 = 43.01 : x
  2. Step 2: Convert to fraction form
    28.73/43.01 = 43.01/x
  3. Step 3: Cross multiply
    28.73x = 43.01 × 43.01
  4. Step 4: Simplify right side
    28.73x = 1,849.67
  5. Step 5: Solve for x
    x = 1,849.67/28.73
  6. Step 6: Final answer
    x = 64.37

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