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Finding the Third Proportional to 17,548 and 38,496

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Solution

The third proportional to 17,548 and 38,496 is: 84,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548 : 38,496 = 38,496 : x
  2. Step 2: Convert to fraction form
    17,548/38,496 = 38,496/x
  3. Step 3: Cross multiply
    17,548x = 38,496 × 38,496
  4. Step 4: Simplify right side
    17,548x = 1,481,942,016
  5. Step 5: Solve for x
    x = 1,481,942,016/17,548
  6. Step 6: Final answer
    x = 84,450.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.