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Finding the Third Proportional to 33,284 and 72,400

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Solution

The third proportional to 33,284 and 72,400 is: 157,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284 : 72,400 = 72,400 : x
  2. Step 2: Convert to fraction form
    33,284/72,400 = 72,400/x
  3. Step 3: Cross multiply
    33,284x = 72,400 × 72,400
  4. Step 4: Simplify right side
    33,284x = 5,241,760,000
  5. Step 5: Solve for x
    x = 5,241,760,000/33,284
  6. Step 6: Final answer
    x = 157,485.88

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