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Finding the Third Proportional to 8,400 and 19,496

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Solution

The third proportional to 8,400 and 19,496 is: 45,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 19,496 = 19,496 : x
  2. Step 2: Convert to fraction form
    8,400/19,496 = 19,496/x
  3. Step 3: Cross multiply
    8,400x = 19,496 × 19,496
  4. Step 4: Simplify right side
    8,400x = 380,094,016
  5. Step 5: Solve for x
    x = 380,094,016/8,400
  6. Step 6: Final answer
    x = 45,249.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.