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Finding the Third Proportional to 33.10 and 72.62

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Solution

The third proportional to 33.10 and 72.62 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 72.62 = 72.62 : x
  2. Step 2: Convert to fraction form
    33.10/72.62 = 72.62/x
  3. Step 3: Cross multiply
    33.10x = 72.62 × 72.62
  4. Step 4: Simplify right side
    33.10x = 5,272.97
  5. Step 5: Solve for x
    x = 5,272.97/33.10
  6. Step 6: Final answer
    x = 159.29

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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.