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Finding the Third Proportional to 12,190.50 and 19,394.44

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Solution

The third proportional to 12,190.50 and 19,394.44 is: 30,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 19,394.44 = 19,394.44 : x
  2. Step 2: Convert to fraction form
    12,190.50/19,394.44 = 19,394.44/x
  3. Step 3: Cross multiply
    12,190.50x = 19,394.44 × 19,394.44
  4. Step 4: Simplify right side
    12,190.50x = 376,144,205.94
  5. Step 5: Solve for x
    x = 376,144,205.94/12,190.50
  6. Step 6: Final answer
    x = 30,855.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.