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Finding the Third Proportional to 33,200 and 70,792

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Solution

The third proportional to 33,200 and 70,792 is: 150,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200 : 70,792 = 70,792 : x
  2. Step 2: Convert to fraction form
    33,200/70,792 = 70,792/x
  3. Step 3: Cross multiply
    33,200x = 70,792 × 70,792
  4. Step 4: Simplify right side
    33,200x = 5,011,507,264
  5. Step 5: Solve for x
    x = 5,011,507,264/33,200
  6. Step 6: Final answer
    x = 150,949.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.