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Finding the Third Proportional to 33.96 and 70.56

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Solution

The third proportional to 33.96 and 70.56 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.96 : 70.56 = 70.56 : x
  2. Step 2: Convert to fraction form
    33.96/70.56 = 70.56/x
  3. Step 3: Cross multiply
    33.96x = 70.56 × 70.56
  4. Step 4: Simplify right side
    33.96x = 4,978.52
  5. Step 5: Solve for x
    x = 4,978.52/33.96
  6. Step 6: Final answer
    x = 146.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.