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Finding the Third Proportional to 11,213.44 and 17,412.47

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Solution

The third proportional to 11,213.44 and 17,412.47 is: 27,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.44 : 17,412.47 = 17,412.47 : x
  2. Step 2: Convert to fraction form
    11,213.44/17,412.47 = 17,412.47/x
  3. Step 3: Cross multiply
    11,213.44x = 17,412.47 × 17,412.47
  4. Step 4: Simplify right side
    11,213.44x = 303,194,067.97
  5. Step 5: Solve for x
    x = 303,194,067.97/11,213.44
  6. Step 6: Final answer
    x = 27,038.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.