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Finding the Third Proportional to 37,300.50 and 50,022.56

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Solution

The third proportional to 37,300.50 and 50,022.56 is: 67,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300.50 : 50,022.56 = 50,022.56 : x
  2. Step 2: Convert to fraction form
    37,300.50/50,022.56 = 50,022.56/x
  3. Step 3: Cross multiply
    37,300.50x = 50,022.56 × 50,022.56
  4. Step 4: Simplify right side
    37,300.50x = 2,502,256,759.07
  5. Step 5: Solve for x
    x = 2,502,256,759.07/37,300.50
  6. Step 6: Final answer
    x = 67,083.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.