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Finding the Third Proportional to 17,476 and 37,734

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Solution

The third proportional to 17,476 and 37,734 is: 81,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476 : 37,734 = 37,734 : x
  2. Step 2: Convert to fraction form
    17,476/37,734 = 37,734/x
  3. Step 3: Cross multiply
    17,476x = 37,734 × 37,734
  4. Step 4: Simplify right side
    17,476x = 1,423,854,756
  5. Step 5: Solve for x
    x = 1,423,854,756/17,476
  6. Step 6: Final answer
    x = 81,474.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.