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Finding the Third Proportional to 3,844 and 8,584

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Solution

The third proportional to 3,844 and 8,584 is: 19,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 8,584 = 8,584 : x
  2. Step 2: Convert to fraction form
    3,844/8,584 = 8,584/x
  3. Step 3: Cross multiply
    3,844x = 8,584 × 8,584
  4. Step 4: Simplify right side
    3,844x = 73,685,056
  5. Step 5: Solve for x
    x = 73,685,056/3,844
  6. Step 6: Final answer
    x = 19,168.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.