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Finding the Third Proportional to 17,876 and 39,208

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Solution

The third proportional to 17,876 and 39,208 is: 85,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876 : 39,208 = 39,208 : x
  2. Step 2: Convert to fraction form
    17,876/39,208 = 39,208/x
  3. Step 3: Cross multiply
    17,876x = 39,208 × 39,208
  4. Step 4: Simplify right side
    17,876x = 1,537,267,264
  5. Step 5: Solve for x
    x = 1,537,267,264/17,876
  6. Step 6: Final answer
    x = 85,996.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.