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Finding the Third Proportional to 2,405 and 3,728

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Solution

The third proportional to 2,405 and 3,728 is: 5,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,728 = 3,728 : x
  2. Step 2: Convert to fraction form
    2,405/3,728 = 3,728/x
  3. Step 3: Cross multiply
    2,405x = 3,728 × 3,728
  4. Step 4: Simplify right side
    2,405x = 13,897,984
  5. Step 5: Solve for x
    x = 13,897,984/2,405
  6. Step 6: Final answer
    x = 5,778.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.