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Finding the Third Proportional to 11,838 and 27,408.75

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Solution

The third proportional to 11,838 and 27,408.75 is: 63,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838 : 27,408.75 = 27,408.75 : x
  2. Step 2: Convert to fraction form
    11,838/27,408.75 = 27,408.75/x
  3. Step 3: Cross multiply
    11,838x = 27,408.75 × 27,408.75
  4. Step 4: Simplify right side
    11,838x = 751,239,576.56
  5. Step 5: Solve for x
    x = 751,239,576.56/11,838
  6. Step 6: Final answer
    x = 63,460.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.