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Finding the Third Proportional to 16,072.88 and 35,871.75

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Solution

The third proportional to 16,072.88 and 35,871.75 is: 80,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.88 : 35,871.75 = 35,871.75 : x
  2. Step 2: Convert to fraction form
    16,072.88/35,871.75 = 35,871.75/x
  3. Step 3: Cross multiply
    16,072.88x = 35,871.75 × 35,871.75
  4. Step 4: Simplify right side
    16,072.88x = 1,286,782,448.06
  5. Step 5: Solve for x
    x = 1,286,782,448.06/16,072.88
  6. Step 6: Final answer
    x = 80,059.26

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.