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Finding the Third Proportional to 23,751 and 33,400.75

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Solution

The third proportional to 23,751 and 33,400.75 is: 46,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751 : 33,400.75 = 33,400.75 : x
  2. Step 2: Convert to fraction form
    23,751/33,400.75 = 33,400.75/x
  3. Step 3: Cross multiply
    23,751x = 33,400.75 × 33,400.75
  4. Step 4: Simplify right side
    23,751x = 1,115,610,100.56
  5. Step 5: Solve for x
    x = 1,115,610,100.56/23,751
  6. Step 6: Final answer
    x = 46,971.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.