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Finding the Third Proportional to 13,664 and 30,003

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Solution

The third proportional to 13,664 and 30,003 is: 65,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 30,003 = 30,003 : x
  2. Step 2: Convert to fraction form
    13,664/30,003 = 30,003/x
  3. Step 3: Cross multiply
    13,664x = 30,003 × 30,003
  4. Step 4: Simplify right side
    13,664x = 900,180,009
  5. Step 5: Solve for x
    x = 900,180,009/13,664
  6. Step 6: Final answer
    x = 65,879.68

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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.