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Finding the Third Proportional to 37,819.50 and 50,168.06

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Solution

The third proportional to 37,819.50 and 50,168.06 is: 66,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,819.50 : 50,168.06 = 50,168.06 : x
  2. Step 2: Convert to fraction form
    37,819.50/50,168.06 = 50,168.06/x
  3. Step 3: Cross multiply
    37,819.50x = 50,168.06 × 50,168.06
  4. Step 4: Simplify right side
    37,819.50x = 2,516,834,495.00
  5. Step 5: Solve for x
    x = 2,516,834,495.00/37,819.50
  6. Step 6: Final answer
    x = 66,548.59

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