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Finding the Third Proportional to 17,339 and 37,591

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Solution

The third proportional to 17,339 and 37,591 is: 81,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339 : 37,591 = 37,591 : x
  2. Step 2: Convert to fraction form
    17,339/37,591 = 37,591/x
  3. Step 3: Cross multiply
    17,339x = 37,591 × 37,591
  4. Step 4: Simplify right side
    17,339x = 1,413,083,281
  5. Step 5: Solve for x
    x = 1,413,083,281/17,339
  6. Step 6: Final answer
    x = 81,497.39

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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.