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Finding the Third Proportional to 20,013 and 25,969

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Solution

The third proportional to 20,013 and 25,969 is: 33,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 25,969 = 25,969 : x
  2. Step 2: Convert to fraction form
    20,013/25,969 = 25,969/x
  3. Step 3: Cross multiply
    20,013x = 25,969 × 25,969
  4. Step 4: Simplify right side
    20,013x = 674,388,961
  5. Step 5: Solve for x
    x = 674,388,961/20,013
  6. Step 6: Final answer
    x = 33,697.54

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.