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Finding the Third Proportional to 28.94 and 57.22

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Solution

The third proportional to 28.94 and 57.22 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.94 : 57.22 = 57.22 : x
  2. Step 2: Convert to fraction form
    28.94/57.22 = 57.22/x
  3. Step 3: Cross multiply
    28.94x = 57.22 × 57.22
  4. Step 4: Simplify right side
    28.94x = 3,273.99
  5. Step 5: Solve for x
    x = 3,273.99/28.94
  6. Step 6: Final answer
    x = 113.14

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.