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Finding the Third Proportional to 35.44 and 77.34

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Solution

The third proportional to 35.44 and 77.34 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 77.34 = 77.34 : x
  2. Step 2: Convert to fraction form
    35.44/77.34 = 77.34/x
  3. Step 3: Cross multiply
    35.44x = 77.34 × 77.34
  4. Step 4: Simplify right side
    35.44x = 5,982.06
  5. Step 5: Solve for x
    x = 5,982.06/35.44
  6. Step 6: Final answer
    x = 168.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.