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Finding the Third Proportional to 2,378 and 5,266

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Solution

The third proportional to 2,378 and 5,266 is: 11,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 5,266 = 5,266 : x
  2. Step 2: Convert to fraction form
    2,378/5,266 = 5,266/x
  3. Step 3: Cross multiply
    2,378x = 5,266 × 5,266
  4. Step 4: Simplify right side
    2,378x = 27,730,756
  5. Step 5: Solve for x
    x = 27,730,756/2,378
  6. Step 6: Final answer
    x = 11,661.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.