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Finding the Third Proportional to 2,258 and 3,427

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Solution

The third proportional to 2,258 and 3,427 is: 5,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258 : 3,427 = 3,427 : x
  2. Step 2: Convert to fraction form
    2,258/3,427 = 3,427/x
  3. Step 3: Cross multiply
    2,258x = 3,427 × 3,427
  4. Step 4: Simplify right side
    2,258x = 11,744,329
  5. Step 5: Solve for x
    x = 11,744,329/2,258
  6. Step 6: Final answer
    x = 5,201.21

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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.