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Finding the Third Proportional to 14,103.75 and 33,414.38

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Solution

The third proportional to 14,103.75 and 33,414.38 is: 79,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.75 : 33,414.38 = 33,414.38 : x
  2. Step 2: Convert to fraction form
    14,103.75/33,414.38 = 33,414.38/x
  3. Step 3: Cross multiply
    14,103.75x = 33,414.38 × 33,414.38
  4. Step 4: Simplify right side
    14,103.75x = 1,116,520,456.64
  5. Step 5: Solve for x
    x = 1,116,520,456.64/14,103.75
  6. Step 6: Final answer
    x = 79,164.79

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.