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Finding the Third Proportional to 12,774 and 18,675

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Solution

The third proportional to 12,774 and 18,675 is: 27,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 18,675 = 18,675 : x
  2. Step 2: Convert to fraction form
    12,774/18,675 = 18,675/x
  3. Step 3: Cross multiply
    12,774x = 18,675 × 18,675
  4. Step 4: Simplify right side
    12,774x = 348,755,625
  5. Step 5: Solve for x
    x = 348,755,625/12,774
  6. Step 6: Final answer
    x = 27,301.99

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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.