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Finding the Third Proportional to 6,828 and 11,052

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Solution

The third proportional to 6,828 and 11,052 is: 17,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 11,052 = 11,052 : x
  2. Step 2: Convert to fraction form
    6,828/11,052 = 11,052/x
  3. Step 3: Cross multiply
    6,828x = 11,052 × 11,052
  4. Step 4: Simplify right side
    6,828x = 122,146,704
  5. Step 5: Solve for x
    x = 122,146,704/6,828
  6. Step 6: Final answer
    x = 17,889.09

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.