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Finding the Third Proportional to 18,005 and 37,837

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Solution

The third proportional to 18,005 and 37,837 is: 79,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005 : 37,837 = 37,837 : x
  2. Step 2: Convert to fraction form
    18,005/37,837 = 37,837/x
  3. Step 3: Cross multiply
    18,005x = 37,837 × 37,837
  4. Step 4: Simplify right side
    18,005x = 1,431,638,569
  5. Step 5: Solve for x
    x = 1,431,638,569/18,005
  6. Step 6: Final answer
    x = 79,513.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.