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Finding the Third Proportional to 14,369.41 and 19,786.32

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Solution

The third proportional to 14,369.41 and 19,786.32 is: 27,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.41 : 19,786.32 = 19,786.32 : x
  2. Step 2: Convert to fraction form
    14,369.41/19,786.32 = 19,786.32/x
  3. Step 3: Cross multiply
    14,369.41x = 19,786.32 × 19,786.32
  4. Step 4: Simplify right side
    14,369.41x = 391,498,321.76
  5. Step 5: Solve for x
    x = 391,498,321.76/14,369.41
  6. Step 6: Final answer
    x = 27,245.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.