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Finding the Third Proportional to 42,380.72 and 57,558.73

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Solution

The third proportional to 42,380.72 and 57,558.73 is: 78,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.72 : 57,558.73 = 57,558.73 : x
  2. Step 2: Convert to fraction form
    42,380.72/57,558.73 = 57,558.73/x
  3. Step 3: Cross multiply
    42,380.72x = 57,558.73 × 57,558.73
  4. Step 4: Simplify right side
    42,380.72x = 3,313,007,003.50
  5. Step 5: Solve for x
    x = 3,313,007,003.50/42,380.72
  6. Step 6: Final answer
    x = 78,172.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.