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Finding the Third Proportional to 38,682 and 84,408

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Solution

The third proportional to 38,682 and 84,408 is: 184,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682 : 84,408 = 84,408 : x
  2. Step 2: Convert to fraction form
    38,682/84,408 = 84,408/x
  3. Step 3: Cross multiply
    38,682x = 84,408 × 84,408
  4. Step 4: Simplify right side
    38,682x = 7,124,710,464
  5. Step 5: Solve for x
    x = 7,124,710,464/38,682
  6. Step 6: Final answer
    x = 184,186.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.