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Finding the Third Proportional to 2,287 and 3,584

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Solution

The third proportional to 2,287 and 3,584 is: 5,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287 : 3,584 = 3,584 : x
  2. Step 2: Convert to fraction form
    2,287/3,584 = 3,584/x
  3. Step 3: Cross multiply
    2,287x = 3,584 × 3,584
  4. Step 4: Simplify right side
    2,287x = 12,845,056
  5. Step 5: Solve for x
    x = 12,845,056/2,287
  6. Step 6: Final answer
    x = 5,616.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.