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Finding the Third Proportional to 18,350 and 43,283

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Solution

The third proportional to 18,350 and 43,283 is: 102,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,350 : 43,283 = 43,283 : x
  2. Step 2: Convert to fraction form
    18,350/43,283 = 43,283/x
  3. Step 3: Cross multiply
    18,350x = 43,283 × 43,283
  4. Step 4: Simplify right side
    18,350x = 1,873,418,089
  5. Step 5: Solve for x
    x = 1,873,418,089/18,350
  6. Step 6: Final answer
    x = 102,093.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.