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Finding the Third Proportional to 33,477.75 and 51,837.75

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Solution

The third proportional to 33,477.75 and 51,837.75 is: 80,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.75 : 51,837.75 = 51,837.75 : x
  2. Step 2: Convert to fraction form
    33,477.75/51,837.75 = 51,837.75/x
  3. Step 3: Cross multiply
    33,477.75x = 51,837.75 × 51,837.75
  4. Step 4: Simplify right side
    33,477.75x = 2,687,152,325.06
  5. Step 5: Solve for x
    x = 2,687,152,325.06/33,477.75
  6. Step 6: Final answer
    x = 80,266.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.