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Finding the Third Proportional to 12,116 and 25,177

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Solution

The third proportional to 12,116 and 25,177 is: 52,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116 : 25,177 = 25,177 : x
  2. Step 2: Convert to fraction form
    12,116/25,177 = 25,177/x
  3. Step 3: Cross multiply
    12,116x = 25,177 × 25,177
  4. Step 4: Simplify right side
    12,116x = 633,881,329
  5. Step 5: Solve for x
    x = 633,881,329/12,116
  6. Step 6: Final answer
    x = 52,317.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.