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Finding the Third Proportional to 13,729.50 and 29,976

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Solution

The third proportional to 13,729.50 and 29,976 is: 65,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 29,976 = 29,976 : x
  2. Step 2: Convert to fraction form
    13,729.50/29,976 = 29,976/x
  3. Step 3: Cross multiply
    13,729.50x = 29,976 × 29,976
  4. Step 4: Simplify right side
    13,729.50x = 898,560,576
  5. Step 5: Solve for x
    x = 898,560,576/13,729.50
  6. Step 6: Final answer
    x = 65,447.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.