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Finding the Third Proportional to 33,010 and 49,672

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Solution

The third proportional to 33,010 and 49,672 is: 74,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010 : 49,672 = 49,672 : x
  2. Step 2: Convert to fraction form
    33,010/49,672 = 49,672/x
  3. Step 3: Cross multiply
    33,010x = 49,672 × 49,672
  4. Step 4: Simplify right side
    33,010x = 2,467,307,584
  5. Step 5: Solve for x
    x = 2,467,307,584/33,010
  6. Step 6: Final answer
    x = 74,744.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.