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Finding the Third Proportional to 5,923 and 13,013

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Solution

The third proportional to 5,923 and 13,013 is: 28,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923 : 13,013 = 13,013 : x
  2. Step 2: Convert to fraction form
    5,923/13,013 = 13,013/x
  3. Step 3: Cross multiply
    5,923x = 13,013 × 13,013
  4. Step 4: Simplify right side
    5,923x = 169,338,169
  5. Step 5: Solve for x
    x = 169,338,169/5,923
  6. Step 6: Final answer
    x = 28,589.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.