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Finding the Third Proportional to 7,496 and 11,204

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Solution

The third proportional to 7,496 and 11,204 is: 16,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496 : 11,204 = 11,204 : x
  2. Step 2: Convert to fraction form
    7,496/11,204 = 11,204/x
  3. Step 3: Cross multiply
    7,496x = 11,204 × 11,204
  4. Step 4: Simplify right side
    7,496x = 125,529,616
  5. Step 5: Solve for x
    x = 125,529,616/7,496
  6. Step 6: Final answer
    x = 16,746.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.