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Finding the Third Proportional to 30,714 and 43,857

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Solution

The third proportional to 30,714 and 43,857 is: 62,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714 : 43,857 = 43,857 : x
  2. Step 2: Convert to fraction form
    30,714/43,857 = 43,857/x
  3. Step 3: Cross multiply
    30,714x = 43,857 × 43,857
  4. Step 4: Simplify right side
    30,714x = 1,923,436,449
  5. Step 5: Solve for x
    x = 1,923,436,449/30,714
  6. Step 6: Final answer
    x = 62,624.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.