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Finding the Third Proportional to 2,420 and 5,822

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Solution

The third proportional to 2,420 and 5,822 is: 14,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 5,822 = 5,822 : x
  2. Step 2: Convert to fraction form
    2,420/5,822 = 5,822/x
  3. Step 3: Cross multiply
    2,420x = 5,822 × 5,822
  4. Step 4: Simplify right side
    2,420x = 33,895,684
  5. Step 5: Solve for x
    x = 33,895,684/2,420
  6. Step 6: Final answer
    x = 14,006.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.