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Finding the Third Proportional to 7,084 and 11,204

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Solution

The third proportional to 7,084 and 11,204 is: 17,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084 : 11,204 = 11,204 : x
  2. Step 2: Convert to fraction form
    7,084/11,204 = 11,204/x
  3. Step 3: Cross multiply
    7,084x = 11,204 × 11,204
  4. Step 4: Simplify right side
    7,084x = 125,529,616
  5. Step 5: Solve for x
    x = 125,529,616/7,084
  6. Step 6: Final answer
    x = 17,720.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.