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Finding the Third Proportional to 6,828 and 16,524

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Solution

The third proportional to 6,828 and 16,524 is: 39,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 16,524 = 16,524 : x
  2. Step 2: Convert to fraction form
    6,828/16,524 = 16,524/x
  3. Step 3: Cross multiply
    6,828x = 16,524 × 16,524
  4. Step 4: Simplify right side
    6,828x = 273,042,576
  5. Step 5: Solve for x
    x = 273,042,576/6,828
  6. Step 6: Final answer
    x = 39,988.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.