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Finding the Third Proportional to 26,179.50 and 54,567

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Solution

The third proportional to 26,179.50 and 54,567 is: 113,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,179.50 : 54,567 = 54,567 : x
  2. Step 2: Convert to fraction form
    26,179.50/54,567 = 54,567/x
  3. Step 3: Cross multiply
    26,179.50x = 54,567 × 54,567
  4. Step 4: Simplify right side
    26,179.50x = 2,977,557,489
  5. Step 5: Solve for x
    x = 2,977,557,489/26,179.50
  6. Step 6: Final answer
    x = 113,736.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.