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Finding the Third Proportional to 33,298 and 59,200

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Solution

The third proportional to 33,298 and 59,200 is: 105,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298 : 59,200 = 59,200 : x
  2. Step 2: Convert to fraction form
    33,298/59,200 = 59,200/x
  3. Step 3: Cross multiply
    33,298x = 59,200 × 59,200
  4. Step 4: Simplify right side
    33,298x = 3,504,640,000
  5. Step 5: Solve for x
    x = 3,504,640,000/33,298
  6. Step 6: Final answer
    x = 105,250.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.