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Finding the Third Proportional to 37,739.25 and 82,475.25

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Solution

The third proportional to 37,739.25 and 82,475.25 is: 180,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739.25 : 82,475.25 = 82,475.25 : x
  2. Step 2: Convert to fraction form
    37,739.25/82,475.25 = 82,475.25/x
  3. Step 3: Cross multiply
    37,739.25x = 82,475.25 × 82,475.25
  4. Step 4: Simplify right side
    37,739.25x = 6,802,166,862.56
  5. Step 5: Solve for x
    x = 6,802,166,862.56/37,739.25
  6. Step 6: Final answer
    x = 180,241.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.