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Finding the Third Proportional to 37,401.38 and 80,747.25

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Solution

The third proportional to 37,401.38 and 80,747.25 is: 174,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,401.38 : 80,747.25 = 80,747.25 : x
  2. Step 2: Convert to fraction form
    37,401.38/80,747.25 = 80,747.25/x
  3. Step 3: Cross multiply
    37,401.38x = 80,747.25 × 80,747.25
  4. Step 4: Simplify right side
    37,401.38x = 6,520,118,382.56
  5. Step 5: Solve for x
    x = 6,520,118,382.56/37,401.38
  6. Step 6: Final answer
    x = 174,328.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.