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Finding the Third Proportional to 37,608.05 and 80,045.72

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Solution

The third proportional to 37,608.05 and 80,045.72 is: 170,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,608.05 : 80,045.72 = 80,045.72 : x
  2. Step 2: Convert to fraction form
    37,608.05/80,045.72 = 80,045.72/x
  3. Step 3: Cross multiply
    37,608.05x = 80,045.72 × 80,045.72
  4. Step 4: Simplify right side
    37,608.05x = 6,407,317,090.20
  5. Step 5: Solve for x
    x = 6,407,317,090.20/37,608.05
  6. Step 6: Final answer
    x = 170,370.91

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