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Finding the Third Proportional to 18,214 and 27,850

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Solution

The third proportional to 18,214 and 27,850 is: 42,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 27,850 = 27,850 : x
  2. Step 2: Convert to fraction form
    18,214/27,850 = 27,850/x
  3. Step 3: Cross multiply
    18,214x = 27,850 × 27,850
  4. Step 4: Simplify right side
    18,214x = 775,622,500
  5. Step 5: Solve for x
    x = 775,622,500/18,214
  6. Step 6: Final answer
    x = 42,583.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.