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Finding the Third Proportional to 10,764 and 23,204

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Solution

The third proportional to 10,764 and 23,204 is: 50,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 23,204 = 23,204 : x
  2. Step 2: Convert to fraction form
    10,764/23,204 = 23,204/x
  3. Step 3: Cross multiply
    10,764x = 23,204 × 23,204
  4. Step 4: Simplify right side
    10,764x = 538,425,616
  5. Step 5: Solve for x
    x = 538,425,616/10,764
  6. Step 6: Final answer
    x = 50,020.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.