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Finding the Third Proportional to 11,517 and 25,194

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Solution

The third proportional to 11,517 and 25,194 is: 55,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 25,194 = 25,194 : x
  2. Step 2: Convert to fraction form
    11,517/25,194 = 25,194/x
  3. Step 3: Cross multiply
    11,517x = 25,194 × 25,194
  4. Step 4: Simplify right side
    11,517x = 634,737,636
  5. Step 5: Solve for x
    x = 634,737,636/11,517
  6. Step 6: Final answer
    x = 55,113.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.