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Finding the Third Proportional to 33,568 and 66,272

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Solution

The third proportional to 33,568 and 66,272 is: 130,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,568 : 66,272 = 66,272 : x
  2. Step 2: Convert to fraction form
    33,568/66,272 = 66,272/x
  3. Step 3: Cross multiply
    33,568x = 66,272 × 66,272
  4. Step 4: Simplify right side
    33,568x = 4,391,977,984
  5. Step 5: Solve for x
    x = 4,391,977,984/33,568
  6. Step 6: Final answer
    x = 130,838.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.