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Finding the Third Proportional to 11,138 and 25,899

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Solution

The third proportional to 11,138 and 25,899 is: 60,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138 : 25,899 = 25,899 : x
  2. Step 2: Convert to fraction form
    11,138/25,899 = 25,899/x
  3. Step 3: Cross multiply
    11,138x = 25,899 × 25,899
  4. Step 4: Simplify right side
    11,138x = 670,758,201
  5. Step 5: Solve for x
    x = 670,758,201/11,138
  6. Step 6: Final answer
    x = 60,222.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.