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Finding the Third Proportional to 33.75 and 72.91

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Solution

The third proportional to 33.75 and 72.91 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.75 : 72.91 = 72.91 : x
  2. Step 2: Convert to fraction form
    33.75/72.91 = 72.91/x
  3. Step 3: Cross multiply
    33.75x = 72.91 × 72.91
  4. Step 4: Simplify right side
    33.75x = 5,315.32
  5. Step 5: Solve for x
    x = 5,315.32/33.75
  6. Step 6: Final answer
    x = 157.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.