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Finding the Third Proportional to 46.69 and 94.78

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Solution

The third proportional to 46.69 and 94.78 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 94.78 = 94.78 : x
  2. Step 2: Convert to fraction form
    46.69/94.78 = 94.78/x
  3. Step 3: Cross multiply
    46.69x = 94.78 × 94.78
  4. Step 4: Simplify right side
    46.69x = 8,983.49
  5. Step 5: Solve for x
    x = 8,983.49/46.69
  6. Step 6: Final answer
    x = 192.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.