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Finding the Third Proportional to 16,146.21 and 33,676.38

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Solution

The third proportional to 16,146.21 and 33,676.38 is: 70,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.21 : 33,676.38 = 33,676.38 : x
  2. Step 2: Convert to fraction form
    16,146.21/33,676.38 = 33,676.38/x
  3. Step 3: Cross multiply
    16,146.21x = 33,676.38 × 33,676.38
  4. Step 4: Simplify right side
    16,146.21x = 1,134,098,759.33
  5. Step 5: Solve for x
    x = 1,134,098,759.33/16,146.21
  6. Step 6: Final answer
    x = 70,239.31

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.