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Finding the Third Proportional to 33.59 and 72.87

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Solution

The third proportional to 33.59 and 72.87 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.59 : 72.87 = 72.87 : x
  2. Step 2: Convert to fraction form
    33.59/72.87 = 72.87/x
  3. Step 3: Cross multiply
    33.59x = 72.87 × 72.87
  4. Step 4: Simplify right side
    33.59x = 5,309.63
  5. Step 5: Solve for x
    x = 5,309.63/33.59
  6. Step 6: Final answer
    x = 158.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.