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Finding the Third Proportional to 23,171.06 and 34,676.86

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Solution

The third proportional to 23,171.06 and 34,676.86 is: 51,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.06 : 34,676.86 = 34,676.86 : x
  2. Step 2: Convert to fraction form
    23,171.06/34,676.86 = 34,676.86/x
  3. Step 3: Cross multiply
    23,171.06x = 34,676.86 × 34,676.86
  4. Step 4: Simplify right side
    23,171.06x = 1,202,484,576.11
  5. Step 5: Solve for x
    x = 1,202,484,576.11/23,171.06
  6. Step 6: Final answer
    x = 51,895.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.