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Finding the Third Proportional to 36,408 and 54,866

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Solution

The third proportional to 36,408 and 54,866 is: 82,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,408 : 54,866 = 54,866 : x
  2. Step 2: Convert to fraction form
    36,408/54,866 = 54,866/x
  3. Step 3: Cross multiply
    36,408x = 54,866 × 54,866
  4. Step 4: Simplify right side
    36,408x = 3,010,277,956
  5. Step 5: Solve for x
    x = 3,010,277,956/36,408
  6. Step 6: Final answer
    x = 82,681.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.