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Finding the Third Proportional to 33,003 and 47,022.75

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Solution

The third proportional to 33,003 and 47,022.75 is: 66,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,003 : 47,022.75 = 47,022.75 : x
  2. Step 2: Convert to fraction form
    33,003/47,022.75 = 47,022.75/x
  3. Step 3: Cross multiply
    33,003x = 47,022.75 × 47,022.75
  4. Step 4: Simplify right side
    33,003x = 2,211,139,017.56
  5. Step 5: Solve for x
    x = 2,211,139,017.56/33,003
  6. Step 6: Final answer
    x = 66,998.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.