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Finding the Third Proportional to 33.31 and 72.63

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Solution

The third proportional to 33.31 and 72.63 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.31 : 72.63 = 72.63 : x
  2. Step 2: Convert to fraction form
    33.31/72.63 = 72.63/x
  3. Step 3: Cross multiply
    33.31x = 72.63 × 72.63
  4. Step 4: Simplify right side
    33.31x = 5,274.39
  5. Step 5: Solve for x
    x = 5,274.39/33.31
  6. Step 6: Final answer
    x = 158.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.