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Finding the Third Proportional to 17,796 and 38,592

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Solution

The third proportional to 17,796 and 38,592 is: 83,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796 : 38,592 = 38,592 : x
  2. Step 2: Convert to fraction form
    17,796/38,592 = 38,592/x
  3. Step 3: Cross multiply
    17,796x = 38,592 × 38,592
  4. Step 4: Simplify right side
    17,796x = 1,489,342,464
  5. Step 5: Solve for x
    x = 1,489,342,464/17,796
  6. Step 6: Final answer
    x = 83,689.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.