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Finding the Third Proportional to 26,338 and 57,828

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Solution

The third proportional to 26,338 and 57,828 is: 126,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338 : 57,828 = 57,828 : x
  2. Step 2: Convert to fraction form
    26,338/57,828 = 57,828/x
  3. Step 3: Cross multiply
    26,338x = 57,828 × 57,828
  4. Step 4: Simplify right side
    26,338x = 3,344,077,584
  5. Step 5: Solve for x
    x = 3,344,077,584/26,338
  6. Step 6: Final answer
    x = 126,967.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.