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Finding the Third Proportional to 27,238.50 and 58,647

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Solution

The third proportional to 27,238.50 and 58,647 is: 126,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.50 : 58,647 = 58,647 : x
  2. Step 2: Convert to fraction form
    27,238.50/58,647 = 58,647/x
  3. Step 3: Cross multiply
    27,238.50x = 58,647 × 58,647
  4. Step 4: Simplify right side
    27,238.50x = 3,439,470,609
  5. Step 5: Solve for x
    x = 3,439,470,609/27,238.50
  6. Step 6: Final answer
    x = 126,272.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.