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Finding the Third Proportional to 18,214 and 27,807

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Solution

The third proportional to 18,214 and 27,807 is: 42,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 27,807 = 27,807 : x
  2. Step 2: Convert to fraction form
    18,214/27,807 = 27,807/x
  3. Step 3: Cross multiply
    18,214x = 27,807 × 27,807
  4. Step 4: Simplify right side
    18,214x = 773,229,249
  5. Step 5: Solve for x
    x = 773,229,249/18,214
  6. Step 6: Final answer
    x = 42,452.47

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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.