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Finding the Third Proportional to 19,198.38 and 30,051.63

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Solution

The third proportional to 19,198.38 and 30,051.63 is: 47,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.38 : 30,051.63 = 30,051.63 : x
  2. Step 2: Convert to fraction form
    19,198.38/30,051.63 = 30,051.63/x
  3. Step 3: Cross multiply
    19,198.38x = 30,051.63 × 30,051.63
  4. Step 4: Simplify right side
    19,198.38x = 903,100,165.14
  5. Step 5: Solve for x
    x = 903,100,165.14/19,198.38
  6. Step 6: Final answer
    x = 47,040.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.