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Finding the Third Proportional to 5,393 and 11,299

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Solution

The third proportional to 5,393 and 11,299 is: 23,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393 : 11,299 = 11,299 : x
  2. Step 2: Convert to fraction form
    5,393/11,299 = 11,299/x
  3. Step 3: Cross multiply
    5,393x = 11,299 × 11,299
  4. Step 4: Simplify right side
    5,393x = 127,667,401
  5. Step 5: Solve for x
    x = 127,667,401/5,393
  6. Step 6: Final answer
    x = 23,672.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.