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Finding the Third Proportional to 4,033.50 and 8,796.75

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Solution

The third proportional to 4,033.50 and 8,796.75 is: 19,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.50 : 8,796.75 = 8,796.75 : x
  2. Step 2: Convert to fraction form
    4,033.50/8,796.75 = 8,796.75/x
  3. Step 3: Cross multiply
    4,033.50x = 8,796.75 × 8,796.75
  4. Step 4: Simplify right side
    4,033.50x = 77,382,810.56
  5. Step 5: Solve for x
    x = 77,382,810.56/4,033.50
  6. Step 6: Final answer
    x = 19,185.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.