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Finding the Third Proportional to 37,763.72 and 51,105.94

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Solution

The third proportional to 37,763.72 and 51,105.94 is: 69,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,763.72 : 51,105.94 = 51,105.94 : x
  2. Step 2: Convert to fraction form
    37,763.72/51,105.94 = 51,105.94/x
  3. Step 3: Cross multiply
    37,763.72x = 51,105.94 × 51,105.94
  4. Step 4: Simplify right side
    37,763.72x = 2,611,816,847.75
  5. Step 5: Solve for x
    x = 2,611,816,847.75/37,763.72
  6. Step 6: Final answer
    x = 69,162.07

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.