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Finding the Third Proportional to 17,514 and 37,489

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Solution

The third proportional to 17,514 and 37,489 is: 80,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514 : 37,489 = 37,489 : x
  2. Step 2: Convert to fraction form
    17,514/37,489 = 37,489/x
  3. Step 3: Cross multiply
    17,514x = 37,489 × 37,489
  4. Step 4: Simplify right side
    17,514x = 1,405,425,121
  5. Step 5: Solve for x
    x = 1,405,425,121/17,514
  6. Step 6: Final answer
    x = 80,245.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.