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Finding the Third Proportional to 32,806.27 and 76,821.54

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Solution

The third proportional to 32,806.27 and 76,821.54 is: 179,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.27 : 76,821.54 = 76,821.54 : x
  2. Step 2: Convert to fraction form
    32,806.27/76,821.54 = 76,821.54/x
  3. Step 3: Cross multiply
    32,806.27x = 76,821.54 × 76,821.54
  4. Step 4: Simplify right side
    32,806.27x = 5,901,548,863.93
  5. Step 5: Solve for x
    x = 5,901,548,863.93/32,806.27
  6. Step 6: Final answer
    x = 179,890.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.