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Finding the Third Proportional to 8,576 and 12,828

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Solution

The third proportional to 8,576 and 12,828 is: 19,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,828 = 12,828 : x
  2. Step 2: Convert to fraction form
    8,576/12,828 = 12,828/x
  3. Step 3: Cross multiply
    8,576x = 12,828 × 12,828
  4. Step 4: Simplify right side
    8,576x = 164,557,584
  5. Step 5: Solve for x
    x = 164,557,584/8,576
  6. Step 6: Final answer
    x = 19,188.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.