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Finding the Third Proportional to 27,384 and 60,168

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Solution

The third proportional to 27,384 and 60,168 is: 132,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 60,168 = 60,168 : x
  2. Step 2: Convert to fraction form
    27,384/60,168 = 60,168/x
  3. Step 3: Cross multiply
    27,384x = 60,168 × 60,168
  4. Step 4: Simplify right side
    27,384x = 3,620,188,224
  5. Step 5: Solve for x
    x = 3,620,188,224/27,384
  6. Step 6: Final answer
    x = 132,200.86

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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.