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Finding the Third Proportional to 33,273.50 and 48,938

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Solution

The third proportional to 33,273.50 and 48,938 is: 71,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273.50 : 48,938 = 48,938 : x
  2. Step 2: Convert to fraction form
    33,273.50/48,938 = 48,938/x
  3. Step 3: Cross multiply
    33,273.50x = 48,938 × 48,938
  4. Step 4: Simplify right side
    33,273.50x = 2,394,927,844
  5. Step 5: Solve for x
    x = 2,394,927,844/33,273.50
  6. Step 6: Final answer
    x = 71,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.