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Finding the Third Proportional to 2,269 and 3,447

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Solution

The third proportional to 2,269 and 3,447 is: 5,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 3,447 = 3,447 : x
  2. Step 2: Convert to fraction form
    2,269/3,447 = 3,447/x
  3. Step 3: Cross multiply
    2,269x = 3,447 × 3,447
  4. Step 4: Simplify right side
    2,269x = 11,881,809
  5. Step 5: Solve for x
    x = 11,881,809/2,269
  6. Step 6: Final answer
    x = 5,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.