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Finding the Third Proportional to 26,181 and 56,573

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Solution

The third proportional to 26,181 and 56,573 is: 122,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 56,573 = 56,573 : x
  2. Step 2: Convert to fraction form
    26,181/56,573 = 56,573/x
  3. Step 3: Cross multiply
    26,181x = 56,573 × 56,573
  4. Step 4: Simplify right side
    26,181x = 3,200,504,329
  5. Step 5: Solve for x
    x = 3,200,504,329/26,181
  6. Step 6: Final answer
    x = 122,245.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.