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Finding the Third Proportional to 6,852 and 11,031

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Solution

The third proportional to 6,852 and 11,031 is: 17,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852 : 11,031 = 11,031 : x
  2. Step 2: Convert to fraction form
    6,852/11,031 = 11,031/x
  3. Step 3: Cross multiply
    6,852x = 11,031 × 11,031
  4. Step 4: Simplify right side
    6,852x = 121,682,961
  5. Step 5: Solve for x
    x = 121,682,961/6,852
  6. Step 6: Final answer
    x = 17,758.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.