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Finding the Third Proportional to 10,582 and 20,204

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Solution

The third proportional to 10,582 and 20,204 is: 38,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582 : 20,204 = 20,204 : x
  2. Step 2: Convert to fraction form
    10,582/20,204 = 20,204/x
  3. Step 3: Cross multiply
    10,582x = 20,204 × 20,204
  4. Step 4: Simplify right side
    10,582x = 408,201,616
  5. Step 5: Solve for x
    x = 408,201,616/10,582
  6. Step 6: Final answer
    x = 38,575.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.