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Finding the Third Proportional to 23,769.39 and 36,786.02

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Solution

The third proportional to 23,769.39 and 36,786.02 is: 56,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.39 : 36,786.02 = 36,786.02 : x
  2. Step 2: Convert to fraction form
    23,769.39/36,786.02 = 36,786.02/x
  3. Step 3: Cross multiply
    23,769.39x = 36,786.02 × 36,786.02
  4. Step 4: Simplify right side
    23,769.39x = 1,353,211,520.34
  5. Step 5: Solve for x
    x = 1,353,211,520.34/23,769.39
  6. Step 6: Final answer
    x = 56,930.86

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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.