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Finding the Third Proportional to 2,563 and 5,233

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Solution

The third proportional to 2,563 and 5,233 is: 10,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563 : 5,233 = 5,233 : x
  2. Step 2: Convert to fraction form
    2,563/5,233 = 5,233/x
  3. Step 3: Cross multiply
    2,563x = 5,233 × 5,233
  4. Step 4: Simplify right side
    2,563x = 27,384,289
  5. Step 5: Solve for x
    x = 27,384,289/2,563
  6. Step 6: Final answer
    x = 10,684.47

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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.