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Finding the Third Proportional to 23,900 and 28,268

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Solution

The third proportional to 23,900 and 28,268 is: 33,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900 : 28,268 = 28,268 : x
  2. Step 2: Convert to fraction form
    23,900/28,268 = 28,268/x
  3. Step 3: Cross multiply
    23,900x = 28,268 × 28,268
  4. Step 4: Simplify right side
    23,900x = 799,079,824
  5. Step 5: Solve for x
    x = 799,079,824/23,900
  6. Step 6: Final answer
    x = 33,434.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.