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Finding the Third Proportional to 18,194 and 27,819

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Solution

The third proportional to 18,194 and 27,819 is: 42,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194 : 27,819 = 27,819 : x
  2. Step 2: Convert to fraction form
    18,194/27,819 = 27,819/x
  3. Step 3: Cross multiply
    18,194x = 27,819 × 27,819
  4. Step 4: Simplify right side
    18,194x = 773,896,761
  5. Step 5: Solve for x
    x = 773,896,761/18,194
  6. Step 6: Final answer
    x = 42,535.82

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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.