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Finding the Third Proportional to 18,106 and 37,867

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Solution

The third proportional to 18,106 and 37,867 is: 79,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106 : 37,867 = 37,867 : x
  2. Step 2: Convert to fraction form
    18,106/37,867 = 37,867/x
  3. Step 3: Cross multiply
    18,106x = 37,867 × 37,867
  4. Step 4: Simplify right side
    18,106x = 1,433,909,689
  5. Step 5: Solve for x
    x = 1,433,909,689/18,106
  6. Step 6: Final answer
    x = 79,195.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.