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Finding the Third Proportional to 13,668 and 30,004

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Solution

The third proportional to 13,668 and 30,004 is: 65,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668 : 30,004 = 30,004 : x
  2. Step 2: Convert to fraction form
    13,668/30,004 = 30,004/x
  3. Step 3: Cross multiply
    13,668x = 30,004 × 30,004
  4. Step 4: Simplify right side
    13,668x = 900,240,016
  5. Step 5: Solve for x
    x = 900,240,016/13,668
  6. Step 6: Final answer
    x = 65,864.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.