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Finding the Third Proportional to 33,038 and 50,187

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Solution

The third proportional to 33,038 and 50,187 is: 76,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038 : 50,187 = 50,187 : x
  2. Step 2: Convert to fraction form
    33,038/50,187 = 50,187/x
  3. Step 3: Cross multiply
    33,038x = 50,187 × 50,187
  4. Step 4: Simplify right side
    33,038x = 2,518,734,969
  5. Step 5: Solve for x
    x = 2,518,734,969/33,038
  6. Step 6: Final answer
    x = 76,237.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.