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Finding the Third Proportional to 1,284 and 2,684

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Solution

The third proportional to 1,284 and 2,684 is: 5,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 2,684 = 2,684 : x
  2. Step 2: Convert to fraction form
    1,284/2,684 = 2,684/x
  3. Step 3: Cross multiply
    1,284x = 2,684 × 2,684
  4. Step 4: Simplify right side
    1,284x = 7,203,856
  5. Step 5: Solve for x
    x = 7,203,856/1,284
  6. Step 6: Final answer
    x = 5,610.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.