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Finding the Third Proportional to 23,838 and 28,230

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Solution

The third proportional to 23,838 and 28,230 is: 33,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838 : 28,230 = 28,230 : x
  2. Step 2: Convert to fraction form
    23,838/28,230 = 28,230/x
  3. Step 3: Cross multiply
    23,838x = 28,230 × 28,230
  4. Step 4: Simplify right side
    23,838x = 796,932,900
  5. Step 5: Solve for x
    x = 796,932,900/23,838
  6. Step 6: Final answer
    x = 33,431.20

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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.