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Finding the Third Proportional to 32,976 and 70,325

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Solution

The third proportional to 32,976 and 70,325 is: 149,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 70,325 = 70,325 : x
  2. Step 2: Convert to fraction form
    32,976/70,325 = 70,325/x
  3. Step 3: Cross multiply
    32,976x = 70,325 × 70,325
  4. Step 4: Simplify right side
    32,976x = 4,945,605,625
  5. Step 5: Solve for x
    x = 4,945,605,625/32,976
  6. Step 6: Final answer
    x = 149,975.91

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