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Finding the Third Proportional to 12,198.94 and 14,203.69

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Solution

The third proportional to 12,198.94 and 14,203.69 is: 16,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.94 : 14,203.69 = 14,203.69 : x
  2. Step 2: Convert to fraction form
    12,198.94/14,203.69 = 14,203.69/x
  3. Step 3: Cross multiply
    12,198.94x = 14,203.69 × 14,203.69
  4. Step 4: Simplify right side
    12,198.94x = 201,744,738.60
  5. Step 5: Solve for x
    x = 201,744,738.60/12,198.94
  6. Step 6: Final answer
    x = 16,537.89

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.