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Finding the Third Proportional to 33,427.69 and 49,146.75

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Solution

The third proportional to 33,427.69 and 49,146.75 is: 72,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 49,146.75 = 49,146.75 : x
  2. Step 2: Convert to fraction form
    33,427.69/49,146.75 = 49,146.75/x
  3. Step 3: Cross multiply
    33,427.69x = 49,146.75 × 49,146.75
  4. Step 4: Simplify right side
    33,427.69x = 2,415,403,035.56
  5. Step 5: Solve for x
    x = 2,415,403,035.56/33,427.69
  6. Step 6: Final answer
    x = 72,257.56

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