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Finding the Third Proportional to 2,078 and 4,233

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Solution

The third proportional to 2,078 and 4,233 is: 8,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 4,233 = 4,233 : x
  2. Step 2: Convert to fraction form
    2,078/4,233 = 4,233/x
  3. Step 3: Cross multiply
    2,078x = 4,233 × 4,233
  4. Step 4: Simplify right side
    2,078x = 17,918,289
  5. Step 5: Solve for x
    x = 17,918,289/2,078
  6. Step 6: Final answer
    x = 8,622.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.