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Finding the Third Proportional to 26,821 and 57,336

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Solution

The third proportional to 26,821 and 57,336 is: 122,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821 : 57,336 = 57,336 : x
  2. Step 2: Convert to fraction form
    26,821/57,336 = 57,336/x
  3. Step 3: Cross multiply
    26,821x = 57,336 × 57,336
  4. Step 4: Simplify right side
    26,821x = 3,287,416,896
  5. Step 5: Solve for x
    x = 3,287,416,896/26,821
  6. Step 6: Final answer
    x = 122,568.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.