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Finding the Third Proportional to 9,923 and 14,104.75

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Solution

The third proportional to 9,923 and 14,104.75 is: 20,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923 : 14,104.75 = 14,104.75 : x
  2. Step 2: Convert to fraction form
    9,923/14,104.75 = 14,104.75/x
  3. Step 3: Cross multiply
    9,923x = 14,104.75 × 14,104.75
  4. Step 4: Simplify right side
    9,923x = 198,943,972.56
  5. Step 5: Solve for x
    x = 198,943,972.56/9,923
  6. Step 6: Final answer
    x = 20,048.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.