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Finding the Third Proportional to 18,514 and 27,003

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Solution

The third proportional to 18,514 and 27,003 is: 39,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514 : 27,003 = 27,003 : x
  2. Step 2: Convert to fraction form
    18,514/27,003 = 27,003/x
  3. Step 3: Cross multiply
    18,514x = 27,003 × 27,003
  4. Step 4: Simplify right side
    18,514x = 729,162,009
  5. Step 5: Solve for x
    x = 729,162,009/18,514
  6. Step 6: Final answer
    x = 39,384.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.