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Finding the Third Proportional to 37,725.75 and 50,123.81

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Solution

The third proportional to 37,725.75 and 50,123.81 is: 66,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 50,123.81 = 50,123.81 : x
  2. Step 2: Convert to fraction form
    37,725.75/50,123.81 = 50,123.81/x
  3. Step 3: Cross multiply
    37,725.75x = 50,123.81 × 50,123.81
  4. Step 4: Simplify right side
    37,725.75x = 2,512,396,579.54
  5. Step 5: Solve for x
    x = 2,512,396,579.54/37,725.75
  6. Step 6: Final answer
    x = 66,596.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.