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Finding the Third Proportional to 37,546 and 79,874

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Solution

The third proportional to 37,546 and 79,874 is: 169,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546 : 79,874 = 79,874 : x
  2. Step 2: Convert to fraction form
    37,546/79,874 = 79,874/x
  3. Step 3: Cross multiply
    37,546x = 79,874 × 79,874
  4. Step 4: Simplify right side
    37,546x = 6,379,855,876
  5. Step 5: Solve for x
    x = 6,379,855,876/37,546
  6. Step 6: Final answer
    x = 169,921.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.