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Finding the Third Proportional to 30,647 and 43,162

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Solution

The third proportional to 30,647 and 43,162 is: 60,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647 : 43,162 = 43,162 : x
  2. Step 2: Convert to fraction form
    30,647/43,162 = 43,162/x
  3. Step 3: Cross multiply
    30,647x = 43,162 × 43,162
  4. Step 4: Simplify right side
    30,647x = 1,862,958,244
  5. Step 5: Solve for x
    x = 1,862,958,244/30,647
  6. Step 6: Final answer
    x = 60,787.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.