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Finding the Third Proportional to 12,119 and 25,991

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Solution

The third proportional to 12,119 and 25,991 is: 55,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119 : 25,991 = 25,991 : x
  2. Step 2: Convert to fraction form
    12,119/25,991 = 25,991/x
  3. Step 3: Cross multiply
    12,119x = 25,991 × 25,991
  4. Step 4: Simplify right side
    12,119x = 675,532,081
  5. Step 5: Solve for x
    x = 675,532,081/12,119
  6. Step 6: Final answer
    x = 55,741.57

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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.