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Finding the Third Proportional to 11,278 and 25,993

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Solution

The third proportional to 11,278 and 25,993 is: 59,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278 : 25,993 = 25,993 : x
  2. Step 2: Convert to fraction form
    11,278/25,993 = 25,993/x
  3. Step 3: Cross multiply
    11,278x = 25,993 × 25,993
  4. Step 4: Simplify right side
    11,278x = 675,636,049
  5. Step 5: Solve for x
    x = 675,636,049/11,278
  6. Step 6: Final answer
    x = 59,907.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.