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Finding the Third Proportional to 10,240 and 20,890

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Solution

The third proportional to 10,240 and 20,890 is: 42,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240 : 20,890 = 20,890 : x
  2. Step 2: Convert to fraction form
    10,240/20,890 = 20,890/x
  3. Step 3: Cross multiply
    10,240x = 20,890 × 20,890
  4. Step 4: Simplify right side
    10,240x = 436,392,100
  5. Step 5: Solve for x
    x = 436,392,100/10,240
  6. Step 6: Final answer
    x = 42,616.42

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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.