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Finding the Third Proportional to 36,872 and 81,424

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Solution

The third proportional to 36,872 and 81,424 is: 179,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872 : 81,424 = 81,424 : x
  2. Step 2: Convert to fraction form
    36,872/81,424 = 81,424/x
  3. Step 3: Cross multiply
    36,872x = 81,424 × 81,424
  4. Step 4: Simplify right side
    36,872x = 6,629,867,776
  5. Step 5: Solve for x
    x = 6,629,867,776/36,872
  6. Step 6: Final answer
    x = 179,807.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.