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Finding the Third Proportional to 18,360 and 25,668

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Solution

The third proportional to 18,360 and 25,668 is: 35,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,360 : 25,668 = 25,668 : x
  2. Step 2: Convert to fraction form
    18,360/25,668 = 25,668/x
  3. Step 3: Cross multiply
    18,360x = 25,668 × 25,668
  4. Step 4: Simplify right side
    18,360x = 658,846,224
  5. Step 5: Solve for x
    x = 658,846,224/18,360
  6. Step 6: Final answer
    x = 35,884.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.