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Finding the Third Proportional to 49,620.94 and 76,853.81

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Solution

The third proportional to 49,620.94 and 76,853.81 is: 119,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,620.94 : 76,853.81 = 76,853.81 : x
  2. Step 2: Convert to fraction form
    49,620.94/76,853.81 = 76,853.81/x
  3. Step 3: Cross multiply
    49,620.94x = 76,853.81 × 76,853.81
  4. Step 4: Simplify right side
    49,620.94x = 5,906,508,495.79
  5. Step 5: Solve for x
    x = 5,906,508,495.79/49,620.94
  6. Step 6: Final answer
    x = 119,032.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.