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Finding the Third Proportional to 2,378 and 3,697

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Solution

The third proportional to 2,378 and 3,697 is: 5,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,697 = 3,697 : x
  2. Step 2: Convert to fraction form
    2,378/3,697 = 3,697/x
  3. Step 3: Cross multiply
    2,378x = 3,697 × 3,697
  4. Step 4: Simplify right side
    2,378x = 13,667,809
  5. Step 5: Solve for x
    x = 13,667,809/2,378
  6. Step 6: Final answer
    x = 5,747.61

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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.