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Finding the Third Proportional to 13,744.69 and 16,235.44

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Solution

The third proportional to 13,744.69 and 16,235.44 is: 19,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 16,235.44 = 16,235.44 : x
  2. Step 2: Convert to fraction form
    13,744.69/16,235.44 = 16,235.44/x
  3. Step 3: Cross multiply
    13,744.69x = 16,235.44 × 16,235.44
  4. Step 4: Simplify right side
    13,744.69x = 263,589,430.82
  5. Step 5: Solve for x
    x = 263,589,430.82/13,744.69
  6. Step 6: Final answer
    x = 19,177.55

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.