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Finding the Third Proportional to 8,048 and 11,496

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Solution

The third proportional to 8,048 and 11,496 is: 16,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 11,496 = 11,496 : x
  2. Step 2: Convert to fraction form
    8,048/11,496 = 11,496/x
  3. Step 3: Cross multiply
    8,048x = 11,496 × 11,496
  4. Step 4: Simplify right side
    8,048x = 132,158,016
  5. Step 5: Solve for x
    x = 132,158,016/8,048
  6. Step 6: Final answer
    x = 16,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.