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Finding the Third Proportional to 18,800 and 43,714

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Solution

The third proportional to 18,800 and 43,714 is: 101,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,800 : 43,714 = 43,714 : x
  2. Step 2: Convert to fraction form
    18,800/43,714 = 43,714/x
  3. Step 3: Cross multiply
    18,800x = 43,714 × 43,714
  4. Step 4: Simplify right side
    18,800x = 1,910,913,796
  5. Step 5: Solve for x
    x = 1,910,913,796/18,800
  6. Step 6: Final answer
    x = 101,644.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.