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Finding the Third Proportional to 28.94 and 56.84

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Solution

The third proportional to 28.94 and 56.84 is: 111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.94 : 56.84 = 56.84 : x
  2. Step 2: Convert to fraction form
    28.94/56.84 = 56.84/x
  3. Step 3: Cross multiply
    28.94x = 56.84 × 56.84
  4. Step 4: Simplify right side
    28.94x = 3,231.21
  5. Step 5: Solve for x
    x = 3,231.21/28.94
  6. Step 6: Final answer
    x = 111.66

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.