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Finding the Third Proportional to 17,872 and 39,267

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Solution

The third proportional to 17,872 and 39,267 is: 86,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872 : 39,267 = 39,267 : x
  2. Step 2: Convert to fraction form
    17,872/39,267 = 39,267/x
  3. Step 3: Cross multiply
    17,872x = 39,267 × 39,267
  4. Step 4: Simplify right side
    17,872x = 1,541,897,289
  5. Step 5: Solve for x
    x = 1,541,897,289/17,872
  6. Step 6: Final answer
    x = 86,274.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.