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Finding the Third Proportional to 37,977 and 60,361.50

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Solution

The third proportional to 37,977 and 60,361.50 is: 95,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,977 : 60,361.50 = 60,361.50 : x
  2. Step 2: Convert to fraction form
    37,977/60,361.50 = 60,361.50/x
  3. Step 3: Cross multiply
    37,977x = 60,361.50 × 60,361.50
  4. Step 4: Simplify right side
    37,977x = 3,643,510,682.25
  5. Step 5: Solve for x
    x = 3,643,510,682.25/37,977
  6. Step 6: Final answer
    x = 95,939.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.