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Finding the Third Proportional to 7,538 and 13,204

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Solution

The third proportional to 7,538 and 13,204 is: 23,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538 : 13,204 = 13,204 : x
  2. Step 2: Convert to fraction form
    7,538/13,204 = 13,204/x
  3. Step 3: Cross multiply
    7,538x = 13,204 × 13,204
  4. Step 4: Simplify right side
    7,538x = 174,345,616
  5. Step 5: Solve for x
    x = 174,345,616/7,538
  6. Step 6: Final answer
    x = 23,128.90

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.