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Finding the Third Proportional to 33.19 and 72.28

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Solution

The third proportional to 33.19 and 72.28 is: 157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 72.28 = 72.28 : x
  2. Step 2: Convert to fraction form
    33.19/72.28 = 72.28/x
  3. Step 3: Cross multiply
    33.19x = 72.28 × 72.28
  4. Step 4: Simplify right side
    33.19x = 5,224.58
  5. Step 5: Solve for x
    x = 5,224.58/33.19
  6. Step 6: Final answer
    x = 157.43

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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.