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Finding the Third Proportional to 12,121 and 25,994

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Solution

The third proportional to 12,121 and 25,994 is: 55,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121 : 25,994 = 25,994 : x
  2. Step 2: Convert to fraction form
    12,121/25,994 = 25,994/x
  3. Step 3: Cross multiply
    12,121x = 25,994 × 25,994
  4. Step 4: Simplify right side
    12,121x = 675,688,036
  5. Step 5: Solve for x
    x = 675,688,036/12,121
  6. Step 6: Final answer
    x = 55,745.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.