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Finding the Third Proportional to 9,296 and 19,408

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Solution

The third proportional to 9,296 and 19,408 is: 40,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 19,408 = 19,408 : x
  2. Step 2: Convert to fraction form
    9,296/19,408 = 19,408/x
  3. Step 3: Cross multiply
    9,296x = 19,408 × 19,408
  4. Step 4: Simplify right side
    9,296x = 376,670,464
  5. Step 5: Solve for x
    x = 376,670,464/9,296
  6. Step 6: Final answer
    x = 40,519.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.