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Finding the Third Proportional to 35,530 and 76,244

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Solution

The third proportional to 35,530 and 76,244 is: 163,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530 : 76,244 = 76,244 : x
  2. Step 2: Convert to fraction form
    35,530/76,244 = 76,244/x
  3. Step 3: Cross multiply
    35,530x = 76,244 × 76,244
  4. Step 4: Simplify right side
    35,530x = 5,813,147,536
  5. Step 5: Solve for x
    x = 5,813,147,536/35,530
  6. Step 6: Final answer
    x = 163,612.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.