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Finding the Third Proportional to 23.92 and 47.85

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Solution

The third proportional to 23.92 and 47.85 is: 95.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.92 : 47.85 = 47.85 : x
  2. Step 2: Convert to fraction form
    23.92/47.85 = 47.85/x
  3. Step 3: Cross multiply
    23.92x = 47.85 × 47.85
  4. Step 4: Simplify right side
    23.92x = 2,289.60
  5. Step 5: Solve for x
    x = 2,289.60/23.92
  6. Step 6: Final answer
    x = 95.70

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.