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Finding the Third Proportional to 94.83 and 105.52

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Solution

The third proportional to 94.83 and 105.52 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.83 : 105.52 = 105.52 : x
  2. Step 2: Convert to fraction form
    94.83/105.52 = 105.52/x
  3. Step 3: Cross multiply
    94.83x = 105.52 × 105.52
  4. Step 4: Simplify right side
    94.83x = 11,133.55
  5. Step 5: Solve for x
    x = 11,133.55/94.83
  6. Step 6: Final answer
    x = 117.41

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.