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Finding the Third Proportional to 9,296 and 19,672

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Solution

The third proportional to 9,296 and 19,672 is: 41,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 19,672 = 19,672 : x
  2. Step 2: Convert to fraction form
    9,296/19,672 = 19,672/x
  3. Step 3: Cross multiply
    9,296x = 19,672 × 19,672
  4. Step 4: Simplify right side
    9,296x = 386,987,584
  5. Step 5: Solve for x
    x = 386,987,584/9,296
  6. Step 6: Final answer
    x = 41,629.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.