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Finding the Third Proportional to 39,185.25 and 56,013.75

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Solution

The third proportional to 39,185.25 and 56,013.75 is: 80,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,185.25 : 56,013.75 = 56,013.75 : x
  2. Step 2: Convert to fraction form
    39,185.25/56,013.75 = 56,013.75/x
  3. Step 3: Cross multiply
    39,185.25x = 56,013.75 × 56,013.75
  4. Step 4: Simplify right side
    39,185.25x = 3,137,540,189.06
  5. Step 5: Solve for x
    x = 3,137,540,189.06/39,185.25
  6. Step 6: Final answer
    x = 80,069.42

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.