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Finding the Third Proportional to 14,813.44 and 20,960.44

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Solution

The third proportional to 14,813.44 and 20,960.44 is: 29,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.44 : 20,960.44 = 20,960.44 : x
  2. Step 2: Convert to fraction form
    14,813.44/20,960.44 = 20,960.44/x
  3. Step 3: Cross multiply
    14,813.44x = 20,960.44 × 20,960.44
  4. Step 4: Simplify right side
    14,813.44x = 439,339,940.19
  5. Step 5: Solve for x
    x = 439,339,940.19/14,813.44
  6. Step 6: Final answer
    x = 29,658.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.