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Finding the Third Proportional to 26,329 and 56,873

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Solution

The third proportional to 26,329 and 56,873 is: 122,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,329 : 56,873 = 56,873 : x
  2. Step 2: Convert to fraction form
    26,329/56,873 = 56,873/x
  3. Step 3: Cross multiply
    26,329x = 56,873 × 56,873
  4. Step 4: Simplify right side
    26,329x = 3,234,538,129
  5. Step 5: Solve for x
    x = 3,234,538,129/26,329
  6. Step 6: Final answer
    x = 122,850.78

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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.