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Finding the Third Proportional to 22,945.50 and 33,993

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Solution

The third proportional to 22,945.50 and 33,993 is: 50,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.50 : 33,993 = 33,993 : x
  2. Step 2: Convert to fraction form
    22,945.50/33,993 = 33,993/x
  3. Step 3: Cross multiply
    22,945.50x = 33,993 × 33,993
  4. Step 4: Simplify right side
    22,945.50x = 1,155,524,049
  5. Step 5: Solve for x
    x = 1,155,524,049/22,945.50
  6. Step 6: Final answer
    x = 50,359.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.