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Finding the Third Proportional to 16,284.80 and 33,021.42

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Solution

The third proportional to 16,284.80 and 33,021.42 is: 66,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.80 : 33,021.42 = 33,021.42 : x
  2. Step 2: Convert to fraction form
    16,284.80/33,021.42 = 33,021.42/x
  3. Step 3: Cross multiply
    16,284.80x = 33,021.42 × 33,021.42
  4. Step 4: Simplify right side
    16,284.80x = 1,090,414,302.65
  5. Step 5: Solve for x
    x = 1,090,414,302.65/16,284.80
  6. Step 6: Final answer
    x = 66,959.04

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.