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Finding the Third Proportional to 33.06 and 72.46

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Solution

The third proportional to 33.06 and 72.46 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.06 : 72.46 = 72.46 : x
  2. Step 2: Convert to fraction form
    33.06/72.46 = 72.46/x
  3. Step 3: Cross multiply
    33.06x = 72.46 × 72.46
  4. Step 4: Simplify right side
    33.06x = 5,250.02
  5. Step 5: Solve for x
    x = 5,250.02/33.06
  6. Step 6: Final answer
    x = 158.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.