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Finding the Third Proportional to 28,208 and 58,744

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Solution

The third proportional to 28,208 and 58,744 is: 122,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,208 : 58,744 = 58,744 : x
  2. Step 2: Convert to fraction form
    28,208/58,744 = 58,744/x
  3. Step 3: Cross multiply
    28,208x = 58,744 × 58,744
  4. Step 4: Simplify right side
    28,208x = 3,450,857,536
  5. Step 5: Solve for x
    x = 3,450,857,536/28,208
  6. Step 6: Final answer
    x = 122,336.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.