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Finding the Third Proportional to 13,300 and 27,976

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Solution

The third proportional to 13,300 and 27,976 is: 58,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300 : 27,976 = 27,976 : x
  2. Step 2: Convert to fraction form
    13,300/27,976 = 27,976/x
  3. Step 3: Cross multiply
    13,300x = 27,976 × 27,976
  4. Step 4: Simplify right side
    13,300x = 782,656,576
  5. Step 5: Solve for x
    x = 782,656,576/13,300
  6. Step 6: Final answer
    x = 58,846.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.