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Finding the Third Proportional to 37,542.75 and 66,738.75

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Solution

The third proportional to 37,542.75 and 66,738.75 is: 118,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542.75 : 66,738.75 = 66,738.75 : x
  2. Step 2: Convert to fraction form
    37,542.75/66,738.75 = 66,738.75/x
  3. Step 3: Cross multiply
    37,542.75x = 66,738.75 × 66,738.75
  4. Step 4: Simplify right side
    37,542.75x = 4,454,060,751.56
  5. Step 5: Solve for x
    x = 4,454,060,751.56/37,542.75
  6. Step 6: Final answer
    x = 118,639.70

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.