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Finding the Third Proportional to 23,608.97 and 51,024.94

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Solution

The third proportional to 23,608.97 and 51,024.94 is: 110,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.97 : 51,024.94 = 51,024.94 : x
  2. Step 2: Convert to fraction form
    23,608.97/51,024.94 = 51,024.94/x
  3. Step 3: Cross multiply
    23,608.97x = 51,024.94 × 51,024.94
  4. Step 4: Simplify right side
    23,608.97x = 2,603,544,246.88
  5. Step 5: Solve for x
    x = 2,603,544,246.88/23,608.97
  6. Step 6: Final answer
    x = 110,277.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.