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Finding the Third Proportional to 16,937 and 26,375

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Solution

The third proportional to 16,937 and 26,375 is: 41,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,937 : 26,375 = 26,375 : x
  2. Step 2: Convert to fraction form
    16,937/26,375 = 26,375/x
  3. Step 3: Cross multiply
    16,937x = 26,375 × 26,375
  4. Step 4: Simplify right side
    16,937x = 695,640,625
  5. Step 5: Solve for x
    x = 695,640,625/16,937
  6. Step 6: Final answer
    x = 41,072.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.