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Finding the Third Proportional to 17,356 and 37,744

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Solution

The third proportional to 17,356 and 37,744 is: 82,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,356 : 37,744 = 37,744 : x
  2. Step 2: Convert to fraction form
    17,356/37,744 = 37,744/x
  3. Step 3: Cross multiply
    17,356x = 37,744 × 37,744
  4. Step 4: Simplify right side
    17,356x = 1,424,609,536
  5. Step 5: Solve for x
    x = 1,424,609,536/17,356
  6. Step 6: Final answer
    x = 82,081.67

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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.