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Finding the Third Proportional to 14,203.69 and 16,338.38

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Solution

The third proportional to 14,203.69 and 16,338.38 is: 18,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.69 : 16,338.38 = 16,338.38 : x
  2. Step 2: Convert to fraction form
    14,203.69/16,338.38 = 16,338.38/x
  3. Step 3: Cross multiply
    14,203.69x = 16,338.38 × 16,338.38
  4. Step 4: Simplify right side
    14,203.69x = 266,942,497.64
  5. Step 5: Solve for x
    x = 266,942,497.64/14,203.69
  6. Step 6: Final answer
    x = 18,793.89

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.