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Finding the Third Proportional to 46.56 and 69.94

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Solution

The third proportional to 46.56 and 69.94 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 69.94 = 69.94 : x
  2. Step 2: Convert to fraction form
    46.56/69.94 = 69.94/x
  3. Step 3: Cross multiply
    46.56x = 69.94 × 69.94
  4. Step 4: Simplify right side
    46.56x = 4,891.25
  5. Step 5: Solve for x
    x = 4,891.25/46.56
  6. Step 6: Final answer
    x = 105.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.