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Finding the Third Proportional to 9,934 and 13,771.75

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Solution

The third proportional to 9,934 and 13,771.75 is: 19,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934 : 13,771.75 = 13,771.75 : x
  2. Step 2: Convert to fraction form
    9,934/13,771.75 = 13,771.75/x
  3. Step 3: Cross multiply
    9,934x = 13,771.75 × 13,771.75
  4. Step 4: Simplify right side
    9,934x = 189,661,098.06
  5. Step 5: Solve for x
    x = 189,661,098.06/9,934
  6. Step 6: Final answer
    x = 19,092.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.