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Finding the Third Proportional to 17,992 and 37,940

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Solution

The third proportional to 17,992 and 37,940 is: 80,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,992 : 37,940 = 37,940 : x
  2. Step 2: Convert to fraction form
    17,992/37,940 = 37,940/x
  3. Step 3: Cross multiply
    17,992x = 37,940 × 37,940
  4. Step 4: Simplify right side
    17,992x = 1,439,443,600
  5. Step 5: Solve for x
    x = 1,439,443,600/17,992
  6. Step 6: Final answer
    x = 80,004.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.