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Finding the Third Proportional to 37,398 and 80,741.75

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Solution

The third proportional to 37,398 and 80,741.75 is: 174,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398 : 80,741.75 = 80,741.75 : x
  2. Step 2: Convert to fraction form
    37,398/80,741.75 = 80,741.75/x
  3. Step 3: Cross multiply
    37,398x = 80,741.75 × 80,741.75
  4. Step 4: Simplify right side
    37,398x = 6,519,230,193.06
  5. Step 5: Solve for x
    x = 6,519,230,193.06/37,398
  6. Step 6: Final answer
    x = 174,320.29

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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.