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Finding the Third Proportional to 18,106 and 43,611

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Solution

The third proportional to 18,106 and 43,611 is: 105,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106 : 43,611 = 43,611 : x
  2. Step 2: Convert to fraction form
    18,106/43,611 = 43,611/x
  3. Step 3: Cross multiply
    18,106x = 43,611 × 43,611
  4. Step 4: Simplify right side
    18,106x = 1,901,919,321
  5. Step 5: Solve for x
    x = 1,901,919,321/18,106
  6. Step 6: Final answer
    x = 105,043.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.