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Finding the Third Proportional to 11,846.25 and 25,469.44

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Solution

The third proportional to 11,846.25 and 25,469.44 is: 54,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 25,469.44 = 25,469.44 : x
  2. Step 2: Convert to fraction form
    11,846.25/25,469.44 = 25,469.44/x
  3. Step 3: Cross multiply
    11,846.25x = 25,469.44 × 25,469.44
  4. Step 4: Simplify right side
    11,846.25x = 648,692,246.57
  5. Step 5: Solve for x
    x = 648,692,246.57/11,846.25
  6. Step 6: Final answer
    x = 54,759.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.