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Finding the Third Proportional to 30,668 and 43,404

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Solution

The third proportional to 30,668 and 43,404 is: 61,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668 : 43,404 = 43,404 : x
  2. Step 2: Convert to fraction form
    30,668/43,404 = 43,404/x
  3. Step 3: Cross multiply
    30,668x = 43,404 × 43,404
  4. Step 4: Simplify right side
    30,668x = 1,883,907,216
  5. Step 5: Solve for x
    x = 1,883,907,216/30,668
  6. Step 6: Final answer
    x = 61,429.09

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.