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Finding the Third Proportional to 46.88 and 94.69

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Solution

The third proportional to 46.88 and 94.69 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.88 : 94.69 = 94.69 : x
  2. Step 2: Convert to fraction form
    46.88/94.69 = 94.69/x
  3. Step 3: Cross multiply
    46.88x = 94.69 × 94.69
  4. Step 4: Simplify right side
    46.88x = 8,965.72
  5. Step 5: Solve for x
    x = 8,965.72/46.88
  6. Step 6: Final answer
    x = 191.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.