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Finding the Third Proportional to 6,576 and 12,824

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Solution

The third proportional to 6,576 and 12,824 is: 25,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 12,824 = 12,824 : x
  2. Step 2: Convert to fraction form
    6,576/12,824 = 12,824/x
  3. Step 3: Cross multiply
    6,576x = 12,824 × 12,824
  4. Step 4: Simplify right side
    6,576x = 164,454,976
  5. Step 5: Solve for x
    x = 164,454,976/6,576
  6. Step 6: Final answer
    x = 25,008.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.