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Finding the Third Proportional to 30,647 and 67,036

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Solution

The third proportional to 30,647 and 67,036 is: 146,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647 : 67,036 = 67,036 : x
  2. Step 2: Convert to fraction form
    30,647/67,036 = 67,036/x
  3. Step 3: Cross multiply
    30,647x = 67,036 × 67,036
  4. Step 4: Simplify right side
    30,647x = 4,493,825,296
  5. Step 5: Solve for x
    x = 4,493,825,296/30,647
  6. Step 6: Final answer
    x = 146,631.82

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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.