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Finding the Third Proportional to 57,648.75 and 73,661.25

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Solution

The third proportional to 57,648.75 and 73,661.25 is: 94,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648.75 : 73,661.25 = 73,661.25 : x
  2. Step 2: Convert to fraction form
    57,648.75/73,661.25 = 73,661.25/x
  3. Step 3: Cross multiply
    57,648.75x = 73,661.25 × 73,661.25
  4. Step 4: Simplify right side
    57,648.75x = 5,425,979,751.56
  5. Step 5: Solve for x
    x = 5,425,979,751.56/57,648.75
  6. Step 6: Final answer
    x = 94,121.38

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.