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Finding the Third Proportional to 2,377 and 5,267

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Solution

The third proportional to 2,377 and 5,267 is: 11,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377 : 5,267 = 5,267 : x
  2. Step 2: Convert to fraction form
    2,377/5,267 = 5,267/x
  3. Step 3: Cross multiply
    2,377x = 5,267 × 5,267
  4. Step 4: Simplify right side
    2,377x = 27,741,289
  5. Step 5: Solve for x
    x = 27,741,289/2,377
  6. Step 6: Final answer
    x = 11,670.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.