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Finding the Third Proportional to 34.56 and 46.94

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Solution

The third proportional to 34.56 and 46.94 is: 63.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.56 : 46.94 = 46.94 : x
  2. Step 2: Convert to fraction form
    34.56/46.94 = 46.94/x
  3. Step 3: Cross multiply
    34.56x = 46.94 × 46.94
  4. Step 4: Simplify right side
    34.56x = 2,203.13
  5. Step 5: Solve for x
    x = 2,203.13/34.56
  6. Step 6: Final answer
    x = 63.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.