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Finding the Third Proportional to 23,668 and 36,800

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Solution

The third proportional to 23,668 and 36,800 is: 57,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668 : 36,800 = 36,800 : x
  2. Step 2: Convert to fraction form
    23,668/36,800 = 36,800/x
  3. Step 3: Cross multiply
    23,668x = 36,800 × 36,800
  4. Step 4: Simplify right side
    23,668x = 1,354,240,000
  5. Step 5: Solve for x
    x = 1,354,240,000/23,668
  6. Step 6: Final answer
    x = 57,218.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.