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Finding the Third Proportional to 46.27 and 94.57

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Solution

The third proportional to 46.27 and 94.57 is: 193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.27 : 94.57 = 94.57 : x
  2. Step 2: Convert to fraction form
    46.27/94.57 = 94.57/x
  3. Step 3: Cross multiply
    46.27x = 94.57 × 94.57
  4. Step 4: Simplify right side
    46.27x = 8,943.54
  5. Step 5: Solve for x
    x = 8,943.54/46.27
  6. Step 6: Final answer
    x = 193.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.