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Finding the Third Proportional to 2,447 and 5,233

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Solution

The third proportional to 2,447 and 5,233 is: 11,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447 : 5,233 = 5,233 : x
  2. Step 2: Convert to fraction form
    2,447/5,233 = 5,233/x
  3. Step 3: Cross multiply
    2,447x = 5,233 × 5,233
  4. Step 4: Simplify right side
    2,447x = 27,384,289
  5. Step 5: Solve for x
    x = 27,384,289/2,447
  6. Step 6: Final answer
    x = 11,190.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.