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Finding the Third Proportional to 38,467 and 80,820

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Solution

The third proportional to 38,467 and 80,820 is: 169,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467 : 80,820 = 80,820 : x
  2. Step 2: Convert to fraction form
    38,467/80,820 = 80,820/x
  3. Step 3: Cross multiply
    38,467x = 80,820 × 80,820
  4. Step 4: Simplify right side
    38,467x = 6,531,872,400
  5. Step 5: Solve for x
    x = 6,531,872,400/38,467
  6. Step 6: Final answer
    x = 169,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.