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Finding the Third Proportional to 37,361.25 and 80,271

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Solution

The third proportional to 37,361.25 and 80,271 is: 172,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361.25 : 80,271 = 80,271 : x
  2. Step 2: Convert to fraction form
    37,361.25/80,271 = 80,271/x
  3. Step 3: Cross multiply
    37,361.25x = 80,271 × 80,271
  4. Step 4: Simplify right side
    37,361.25x = 6,443,433,441
  5. Step 5: Solve for x
    x = 6,443,433,441/37,361.25
  6. Step 6: Final answer
    x = 172,463.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.