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Finding the Third Proportional to 12,819.94 and 19,400.77

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Solution

The third proportional to 12,819.94 and 19,400.77 is: 29,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.94 : 19,400.77 = 19,400.77 : x
  2. Step 2: Convert to fraction form
    12,819.94/19,400.77 = 19,400.77/x
  3. Step 3: Cross multiply
    12,819.94x = 19,400.77 × 19,400.77
  4. Step 4: Simplify right side
    12,819.94x = 376,389,706.84
  5. Step 5: Solve for x
    x = 376,389,706.84/12,819.94
  6. Step 6: Final answer
    x = 29,359.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.