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Finding the Third Proportional to 2,033.50 and 3,036.75

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Solution

The third proportional to 2,033.50 and 3,036.75 is: 4,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.50 : 3,036.75 = 3,036.75 : x
  2. Step 2: Convert to fraction form
    2,033.50/3,036.75 = 3,036.75/x
  3. Step 3: Cross multiply
    2,033.50x = 3,036.75 × 3,036.75
  4. Step 4: Simplify right side
    2,033.50x = 9,221,850.56
  5. Step 5: Solve for x
    x = 9,221,850.56/2,033.50
  6. Step 6: Final answer
    x = 4,534.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.