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Finding the Third Proportional to 2,267 and 3,358

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Solution

The third proportional to 2,267 and 3,358 is: 4,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267 : 3,358 = 3,358 : x
  2. Step 2: Convert to fraction form
    2,267/3,358 = 3,358/x
  3. Step 3: Cross multiply
    2,267x = 3,358 × 3,358
  4. Step 4: Simplify right side
    2,267x = 11,276,164
  5. Step 5: Solve for x
    x = 11,276,164/2,267
  6. Step 6: Final answer
    x = 4,974.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.