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Finding the Third Proportional to 33.23 and 70.84

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Solution

The third proportional to 33.23 and 70.84 is: 151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.23 : 70.84 = 70.84 : x
  2. Step 2: Convert to fraction form
    33.23/70.84 = 70.84/x
  3. Step 3: Cross multiply
    33.23x = 70.84 × 70.84
  4. Step 4: Simplify right side
    33.23x = 5,018.84
  5. Step 5: Solve for x
    x = 5,018.84/33.23
  6. Step 6: Final answer
    x = 151.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.