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Finding the Third Proportional to 5,784 and 13,204

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Solution

The third proportional to 5,784 and 13,204 is: 30,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 13,204 = 13,204 : x
  2. Step 2: Convert to fraction form
    5,784/13,204 = 13,204/x
  3. Step 3: Cross multiply
    5,784x = 13,204 × 13,204
  4. Step 4: Simplify right side
    5,784x = 174,345,616
  5. Step 5: Solve for x
    x = 174,345,616/5,784
  6. Step 6: Final answer
    x = 30,142.74

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.