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Finding the Third Proportional to 26,949 and 57,562

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Solution

The third proportional to 26,949 and 57,562 is: 122,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949 : 57,562 = 57,562 : x
  2. Step 2: Convert to fraction form
    26,949/57,562 = 57,562/x
  3. Step 3: Cross multiply
    26,949x = 57,562 × 57,562
  4. Step 4: Simplify right side
    26,949x = 3,313,383,844
  5. Step 5: Solve for x
    x = 3,313,383,844/26,949
  6. Step 6: Final answer
    x = 122,950.16

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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.