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Finding the Third Proportional to 10,203 and 20,838

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Solution

The third proportional to 10,203 and 20,838 is: 42,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203 : 20,838 = 20,838 : x
  2. Step 2: Convert to fraction form
    10,203/20,838 = 20,838/x
  3. Step 3: Cross multiply
    10,203x = 20,838 × 20,838
  4. Step 4: Simplify right side
    10,203x = 434,222,244
  5. Step 5: Solve for x
    x = 434,222,244/10,203
  6. Step 6: Final answer
    x = 42,558.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.