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Finding the Third Proportional to 34.49 and 76.41

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Solution

The third proportional to 34.49 and 76.41 is: 169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.49 : 76.41 = 76.41 : x
  2. Step 2: Convert to fraction form
    34.49/76.41 = 76.41/x
  3. Step 3: Cross multiply
    34.49x = 76.41 × 76.41
  4. Step 4: Simplify right side
    34.49x = 5,838.81
  5. Step 5: Solve for x
    x = 5,838.81/34.49
  6. Step 6: Final answer
    x = 169.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.