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Finding the Third Proportional to 33,652 and 70,792

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Solution

The third proportional to 33,652 and 70,792 is: 148,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652 : 70,792 = 70,792 : x
  2. Step 2: Convert to fraction form
    33,652/70,792 = 70,792/x
  3. Step 3: Cross multiply
    33,652x = 70,792 × 70,792
  4. Step 4: Simplify right side
    33,652x = 5,011,507,264
  5. Step 5: Solve for x
    x = 5,011,507,264/33,652
  6. Step 6: Final answer
    x = 148,921.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.