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Finding the Third Proportional to 8,048 and 17,504

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Solution

The third proportional to 8,048 and 17,504 is: 38,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 17,504 = 17,504 : x
  2. Step 2: Convert to fraction form
    8,048/17,504 = 17,504/x
  3. Step 3: Cross multiply
    8,048x = 17,504 × 17,504
  4. Step 4: Simplify right side
    8,048x = 306,390,016
  5. Step 5: Solve for x
    x = 306,390,016/8,048
  6. Step 6: Final answer
    x = 38,070.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.