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Finding the Third Proportional to 38,496 and 80,052

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Solution

The third proportional to 38,496 and 80,052 is: 166,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 80,052 = 80,052 : x
  2. Step 2: Convert to fraction form
    38,496/80,052 = 80,052/x
  3. Step 3: Cross multiply
    38,496x = 80,052 × 80,052
  4. Step 4: Simplify right side
    38,496x = 6,408,322,704
  5. Step 5: Solve for x
    x = 6,408,322,704/38,496
  6. Step 6: Final answer
    x = 166,467.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.