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Finding the Third Proportional to 19,836.14 and 30,382.59

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Solution

The third proportional to 19,836.14 and 30,382.59 is: 46,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.14 : 30,382.59 = 30,382.59 : x
  2. Step 2: Convert to fraction form
    19,836.14/30,382.59 = 30,382.59/x
  3. Step 3: Cross multiply
    19,836.14x = 30,382.59 × 30,382.59
  4. Step 4: Simplify right side
    19,836.14x = 923,102,002.98
  5. Step 5: Solve for x
    x = 923,102,002.98/19,836.14
  6. Step 6: Final answer
    x = 46,536.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.