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Finding the Third Proportional to 33,811.75 and 72,314

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Solution

The third proportional to 33,811.75 and 72,314 is: 154,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.75 : 72,314 = 72,314 : x
  2. Step 2: Convert to fraction form
    33,811.75/72,314 = 72,314/x
  3. Step 3: Cross multiply
    33,811.75x = 72,314 × 72,314
  4. Step 4: Simplify right side
    33,811.75x = 5,229,314,596
  5. Step 5: Solve for x
    x = 5,229,314,596/33,811.75
  6. Step 6: Final answer
    x = 154,659.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.