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Finding the Third Proportional to 2,822 and 6,284

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Solution

The third proportional to 2,822 and 6,284 is: 13,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822 : 6,284 = 6,284 : x
  2. Step 2: Convert to fraction form
    2,822/6,284 = 6,284/x
  3. Step 3: Cross multiply
    2,822x = 6,284 × 6,284
  4. Step 4: Simplify right side
    2,822x = 39,488,656
  5. Step 5: Solve for x
    x = 39,488,656/2,822
  6. Step 6: Final answer
    x = 13,993.15

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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.