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Finding the Third Proportional to 17,699 and 38,797

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Solution

The third proportional to 17,699 and 38,797 is: 85,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699 : 38,797 = 38,797 : x
  2. Step 2: Convert to fraction form
    17,699/38,797 = 38,797/x
  3. Step 3: Cross multiply
    17,699x = 38,797 × 38,797
  4. Step 4: Simplify right side
    17,699x = 1,505,207,209
  5. Step 5: Solve for x
    x = 1,505,207,209/17,699
  6. Step 6: Final answer
    x = 85,044.76

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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.