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Finding the Third Proportional to 23.75 and 43.94

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Solution

The third proportional to 23.75 and 43.94 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 43.94 = 43.94 : x
  2. Step 2: Convert to fraction form
    23.75/43.94 = 43.94/x
  3. Step 3: Cross multiply
    23.75x = 43.94 × 43.94
  4. Step 4: Simplify right side
    23.75x = 1,930.50
  5. Step 5: Solve for x
    x = 1,930.50/23.75
  6. Step 6: Final answer
    x = 81.28

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.