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Finding the Third Proportional to 46.85 and 104.52

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Solution

The third proportional to 46.85 and 104.52 is: 233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.85 : 104.52 = 104.52 : x
  2. Step 2: Convert to fraction form
    46.85/104.52 = 104.52/x
  3. Step 3: Cross multiply
    46.85x = 104.52 × 104.52
  4. Step 4: Simplify right side
    46.85x = 10,923.99
  5. Step 5: Solve for x
    x = 10,923.99/46.85
  6. Step 6: Final answer
    x = 233.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.