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Finding the Third Proportional to 17,117 and 37,042

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Solution

The third proportional to 17,117 and 37,042 is: 80,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117 : 37,042 = 37,042 : x
  2. Step 2: Convert to fraction form
    17,117/37,042 = 37,042/x
  3. Step 3: Cross multiply
    17,117x = 37,042 × 37,042
  4. Step 4: Simplify right side
    17,117x = 1,372,109,764
  5. Step 5: Solve for x
    x = 1,372,109,764/17,117
  6. Step 6: Final answer
    x = 80,160.65

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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.