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Finding the Third Proportional to 37,137.75 and 54,887.25

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Solution

The third proportional to 37,137.75 and 54,887.25 is: 81,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137.75 : 54,887.25 = 54,887.25 : x
  2. Step 2: Convert to fraction form
    37,137.75/54,887.25 = 54,887.25/x
  3. Step 3: Cross multiply
    37,137.75x = 54,887.25 × 54,887.25
  4. Step 4: Simplify right side
    37,137.75x = 3,012,610,212.56
  5. Step 5: Solve for x
    x = 3,012,610,212.56/37,137.75
  6. Step 6: Final answer
    x = 81,119.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.