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Finding the Third Proportional to 18,182 and 27,633

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Solution

The third proportional to 18,182 and 27,633 is: 41,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182 : 27,633 = 27,633 : x
  2. Step 2: Convert to fraction form
    18,182/27,633 = 27,633/x
  3. Step 3: Cross multiply
    18,182x = 27,633 × 27,633
  4. Step 4: Simplify right side
    18,182x = 763,582,689
  5. Step 5: Solve for x
    x = 763,582,689/18,182
  6. Step 6: Final answer
    x = 41,996.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.