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Finding the Third Proportional to 38,408 and 84,112

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Solution

The third proportional to 38,408 and 84,112 is: 184,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408 : 84,112 = 84,112 : x
  2. Step 2: Convert to fraction form
    38,408/84,112 = 84,112/x
  3. Step 3: Cross multiply
    38,408x = 84,112 × 84,112
  4. Step 4: Simplify right side
    38,408x = 7,074,828,544
  5. Step 5: Solve for x
    x = 7,074,828,544/38,408
  6. Step 6: Final answer
    x = 184,201.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.