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Finding the Third Proportional to 23,996.25 and 33,777

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Solution

The third proportional to 23,996.25 and 33,777 is: 47,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996.25 : 33,777 = 33,777 : x
  2. Step 2: Convert to fraction form
    23,996.25/33,777 = 33,777/x
  3. Step 3: Cross multiply
    23,996.25x = 33,777 × 33,777
  4. Step 4: Simplify right side
    23,996.25x = 1,140,885,729
  5. Step 5: Solve for x
    x = 1,140,885,729/23,996.25
  6. Step 6: Final answer
    x = 47,544.33

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1.5x scale

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.