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Finding the Third Proportional to 8,122 and 17,539

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Solution

The third proportional to 8,122 and 17,539 is: 37,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122 : 17,539 = 17,539 : x
  2. Step 2: Convert to fraction form
    8,122/17,539 = 17,539/x
  3. Step 3: Cross multiply
    8,122x = 17,539 × 17,539
  4. Step 4: Simplify right side
    8,122x = 307,616,521
  5. Step 5: Solve for x
    x = 307,616,521/8,122
  6. Step 6: Final answer
    x = 37,874.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.