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Finding the Third Proportional to 18,834 and 27,674

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Solution

The third proportional to 18,834 and 27,674 is: 40,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834 : 27,674 = 27,674 : x
  2. Step 2: Convert to fraction form
    18,834/27,674 = 27,674/x
  3. Step 3: Cross multiply
    18,834x = 27,674 × 27,674
  4. Step 4: Simplify right side
    18,834x = 765,850,276
  5. Step 5: Solve for x
    x = 765,850,276/18,834
  6. Step 6: Final answer
    x = 40,663.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.