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Finding the Third Proportional to 33 and 71.06

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Solution

The third proportional to 33 and 71.06 is: 153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 71.06 = 71.06 : x
  2. Step 2: Convert to fraction form
    33/71.06 = 71.06/x
  3. Step 3: Cross multiply
    33x = 71.06 × 71.06
  4. Step 4: Simplify right side
    33x = 5,049.88
  5. Step 5: Solve for x
    x = 5,049.88/33
  6. Step 6: Final answer
    x = 153.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.