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Finding the Third Proportional to 49,893 and 73,380.75

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Solution

The third proportional to 49,893 and 73,380.75 is: 107,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,893 : 73,380.75 = 73,380.75 : x
  2. Step 2: Convert to fraction form
    49,893/73,380.75 = 73,380.75/x
  3. Step 3: Cross multiply
    49,893x = 73,380.75 × 73,380.75
  4. Step 4: Simplify right side
    49,893x = 5,384,734,470.56
  5. Step 5: Solve for x
    x = 5,384,734,470.56/49,893
  6. Step 6: Final answer
    x = 107,925.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.