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Finding the Third Proportional to 57,327.75 and 82,573.50

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Solution

The third proportional to 57,327.75 and 82,573.50 is: 118,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.75 : 82,573.50 = 82,573.50 : x
  2. Step 2: Convert to fraction form
    57,327.75/82,573.50 = 82,573.50/x
  3. Step 3: Cross multiply
    57,327.75x = 82,573.50 × 82,573.50
  4. Step 4: Simplify right side
    57,327.75x = 6,818,382,902.25
  5. Step 5: Solve for x
    x = 6,818,382,902.25/57,327.75
  6. Step 6: Final answer
    x = 118,936.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.