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Finding the Third Proportional to 11,493 and 23,469.75

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Solution

The third proportional to 11,493 and 23,469.75 is: 47,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 23,469.75 = 23,469.75 : x
  2. Step 2: Convert to fraction form
    11,493/23,469.75 = 23,469.75/x
  3. Step 3: Cross multiply
    11,493x = 23,469.75 × 23,469.75
  4. Step 4: Simplify right side
    11,493x = 550,829,165.06
  5. Step 5: Solve for x
    x = 550,829,165.06/11,493
  6. Step 6: Final answer
    x = 47,927.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.