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Finding the Third Proportional to 14,291.44 and 23,198.06

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Solution

The third proportional to 14,291.44 and 23,198.06 is: 37,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.44 : 23,198.06 = 23,198.06 : x
  2. Step 2: Convert to fraction form
    14,291.44/23,198.06 = 23,198.06/x
  3. Step 3: Cross multiply
    14,291.44x = 23,198.06 × 23,198.06
  4. Step 4: Simplify right side
    14,291.44x = 538,150,103.75
  5. Step 5: Solve for x
    x = 538,150,103.75/14,291.44
  6. Step 6: Final answer
    x = 37,655.42

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.