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Finding the Third Proportional to 17,849 and 38,875

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Solution

The third proportional to 17,849 and 38,875 is: 84,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849 : 38,875 = 38,875 : x
  2. Step 2: Convert to fraction form
    17,849/38,875 = 38,875/x
  3. Step 3: Cross multiply
    17,849x = 38,875 × 38,875
  4. Step 4: Simplify right side
    17,849x = 1,511,265,625
  5. Step 5: Solve for x
    x = 1,511,265,625/17,849
  6. Step 6: Final answer
    x = 84,669.48

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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.