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Finding the Third Proportional to 8,004 and 17,443

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Solution

The third proportional to 8,004 and 17,443 is: 38,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004 : 17,443 = 17,443 : x
  2. Step 2: Convert to fraction form
    8,004/17,443 = 17,443/x
  3. Step 3: Cross multiply
    8,004x = 17,443 × 17,443
  4. Step 4: Simplify right side
    8,004x = 304,258,249
  5. Step 5: Solve for x
    x = 304,258,249/8,004
  6. Step 6: Final answer
    x = 38,013.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.