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Finding the Third Proportional to 37,173.75 and 77,424.75

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Solution

The third proportional to 37,173.75 and 77,424.75 is: 161,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,173.75 : 77,424.75 = 77,424.75 : x
  2. Step 2: Convert to fraction form
    37,173.75/77,424.75 = 77,424.75/x
  3. Step 3: Cross multiply
    37,173.75x = 77,424.75 × 77,424.75
  4. Step 4: Simplify right side
    37,173.75x = 5,994,591,912.56
  5. Step 5: Solve for x
    x = 5,994,591,912.56/37,173.75
  6. Step 6: Final answer
    x = 161,258.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.