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Finding the Third Proportional to 17,296 and 37,044

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Solution

The third proportional to 17,296 and 37,044 is: 79,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296 : 37,044 = 37,044 : x
  2. Step 2: Convert to fraction form
    17,296/37,044 = 37,044/x
  3. Step 3: Cross multiply
    17,296x = 37,044 × 37,044
  4. Step 4: Simplify right side
    17,296x = 1,372,257,936
  5. Step 5: Solve for x
    x = 1,372,257,936/17,296
  6. Step 6: Final answer
    x = 79,339.61

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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.