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Finding the Third Proportional to 1,296 and 2,822

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Solution

The third proportional to 1,296 and 2,822 is: 6,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 2,822 = 2,822 : x
  2. Step 2: Convert to fraction form
    1,296/2,822 = 2,822/x
  3. Step 3: Cross multiply
    1,296x = 2,822 × 2,822
  4. Step 4: Simplify right side
    1,296x = 7,963,684
  5. Step 5: Solve for x
    x = 7,963,684/1,296
  6. Step 6: Final answer
    x = 6,144.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.