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Finding the Third Proportional to 37,408.50 and 80,001.75

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Solution

The third proportional to 37,408.50 and 80,001.75 is: 171,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,408.50 : 80,001.75 = 80,001.75 : x
  2. Step 2: Convert to fraction form
    37,408.50/80,001.75 = 80,001.75/x
  3. Step 3: Cross multiply
    37,408.50x = 80,001.75 × 80,001.75
  4. Step 4: Simplify right side
    37,408.50x = 6,400,280,003.06
  5. Step 5: Solve for x
    x = 6,400,280,003.06/37,408.50
  6. Step 6: Final answer
    x = 171,091.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.