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Finding the Third Proportional to 17,131 and 37,173

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Solution

The third proportional to 17,131 and 37,173 is: 80,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131 : 37,173 = 37,173 : x
  2. Step 2: Convert to fraction form
    17,131/37,173 = 37,173/x
  3. Step 3: Cross multiply
    17,131x = 37,173 × 37,173
  4. Step 4: Simplify right side
    17,131x = 1,381,831,929
  5. Step 5: Solve for x
    x = 1,381,831,929/17,131
  6. Step 6: Final answer
    x = 80,662.65

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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.