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Finding the Third Proportional to 17,676.75 and 37,170.75

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Solution

The third proportional to 17,676.75 and 37,170.75 is: 78,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.75 : 37,170.75 = 37,170.75 : x
  2. Step 2: Convert to fraction form
    17,676.75/37,170.75 = 37,170.75/x
  3. Step 3: Cross multiply
    17,676.75x = 37,170.75 × 37,170.75
  4. Step 4: Simplify right side
    17,676.75x = 1,381,664,655.56
  5. Step 5: Solve for x
    x = 1,381,664,655.56/17,676.75
  6. Step 6: Final answer
    x = 78,162.82

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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.