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Finding the Third Proportional to 30,530 and 66,244

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Solution

The third proportional to 30,530 and 66,244 is: 143,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530 : 66,244 = 66,244 : x
  2. Step 2: Convert to fraction form
    30,530/66,244 = 66,244/x
  3. Step 3: Cross multiply
    30,530x = 66,244 × 66,244
  4. Step 4: Simplify right side
    30,530x = 4,388,267,536
  5. Step 5: Solve for x
    x = 4,388,267,536/30,530
  6. Step 6: Final answer
    x = 143,736.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.