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Finding the Third Proportional to 28,105 and 58,809

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Solution

The third proportional to 28,105 and 58,809 is: 123,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105 : 58,809 = 58,809 : x
  2. Step 2: Convert to fraction form
    28,105/58,809 = 58,809/x
  3. Step 3: Cross multiply
    28,105x = 58,809 × 58,809
  4. Step 4: Simplify right side
    28,105x = 3,458,498,481
  5. Step 5: Solve for x
    x = 3,458,498,481/28,105
  6. Step 6: Final answer
    x = 123,056.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.