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Finding the Third Proportional to 4,923 and 11,623.50

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Solution

The third proportional to 4,923 and 11,623.50 is: 27,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 11,623.50 = 11,623.50 : x
  2. Step 2: Convert to fraction form
    4,923/11,623.50 = 11,623.50/x
  3. Step 3: Cross multiply
    4,923x = 11,623.50 × 11,623.50
  4. Step 4: Simplify right side
    4,923x = 135,105,752.25
  5. Step 5: Solve for x
    x = 135,105,752.25/4,923
  6. Step 6: Final answer
    x = 27,443.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.