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Finding the Third Proportional to 2,406 and 3,828

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Solution

The third proportional to 2,406 and 3,828 is: 6,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,828 = 3,828 : x
  2. Step 2: Convert to fraction form
    2,406/3,828 = 3,828/x
  3. Step 3: Cross multiply
    2,406x = 3,828 × 3,828
  4. Step 4: Simplify right side
    2,406x = 14,653,584
  5. Step 5: Solve for x
    x = 14,653,584/2,406
  6. Step 6: Final answer
    x = 6,090.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.