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Finding the Third Proportional to 1,204 and 2,584

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Solution

The third proportional to 1,204 and 2,584 is: 5,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204 : 2,584 = 2,584 : x
  2. Step 2: Convert to fraction form
    1,204/2,584 = 2,584/x
  3. Step 3: Cross multiply
    1,204x = 2,584 × 2,584
  4. Step 4: Simplify right side
    1,204x = 6,677,056
  5. Step 5: Solve for x
    x = 6,677,056/1,204
  6. Step 6: Final answer
    x = 5,545.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.