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Finding the Third Proportional to 30,847 and 66,373

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Solution

The third proportional to 30,847 and 66,373 is: 142,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847 : 66,373 = 66,373 : x
  2. Step 2: Convert to fraction form
    30,847/66,373 = 66,373/x
  3. Step 3: Cross multiply
    30,847x = 66,373 × 66,373
  4. Step 4: Simplify right side
    30,847x = 4,405,375,129
  5. Step 5: Solve for x
    x = 4,405,375,129/30,847
  6. Step 6: Final answer
    x = 142,813.73

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Why These Related Problems?

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