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Finding the Third Proportional to 13,280 and 19,976

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Solution

The third proportional to 13,280 and 19,976 is: 30,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 19,976 = 19,976 : x
  2. Step 2: Convert to fraction form
    13,280/19,976 = 19,976/x
  3. Step 3: Cross multiply
    13,280x = 19,976 × 19,976
  4. Step 4: Simplify right side
    13,280x = 399,040,576
  5. Step 5: Solve for x
    x = 399,040,576/13,280
  6. Step 6: Final answer
    x = 30,048.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.