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Finding the Third Proportional to 13,992.75 and 18,505.13

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Solution

The third proportional to 13,992.75 and 18,505.13 is: 24,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 18,505.13 = 18,505.13 : x
  2. Step 2: Convert to fraction form
    13,992.75/18,505.13 = 18,505.13/x
  3. Step 3: Cross multiply
    13,992.75x = 18,505.13 × 18,505.13
  4. Step 4: Simplify right side
    13,992.75x = 342,439,651.27
  5. Step 5: Solve for x
    x = 342,439,651.27/13,992.75
  6. Step 6: Final answer
    x = 24,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.