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Finding the Third Proportional to 33,568 and 78,400

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Solution

The third proportional to 33,568 and 78,400 is: 183,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,568 : 78,400 = 78,400 : x
  2. Step 2: Convert to fraction form
    33,568/78,400 = 78,400/x
  3. Step 3: Cross multiply
    33,568x = 78,400 × 78,400
  4. Step 4: Simplify right side
    33,568x = 6,146,560,000
  5. Step 5: Solve for x
    x = 6,146,560,000/33,568
  6. Step 6: Final answer
    x = 183,107.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.