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Finding the Third Proportional to 28.83 and 56.86

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Solution

The third proportional to 28.83 and 56.86 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.83 : 56.86 = 56.86 : x
  2. Step 2: Convert to fraction form
    28.83/56.86 = 56.86/x
  3. Step 3: Cross multiply
    28.83x = 56.86 × 56.86
  4. Step 4: Simplify right side
    28.83x = 3,233.53
  5. Step 5: Solve for x
    x = 3,233.53/28.83
  6. Step 6: Final answer
    x = 112.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.