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Finding the Third Proportional to 17,790 and 37,631

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Solution

The third proportional to 17,790 and 37,631 is: 79,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790 : 37,631 = 37,631 : x
  2. Step 2: Convert to fraction form
    17,790/37,631 = 37,631/x
  3. Step 3: Cross multiply
    17,790x = 37,631 × 37,631
  4. Step 4: Simplify right side
    17,790x = 1,416,092,161
  5. Step 5: Solve for x
    x = 1,416,092,161/17,790
  6. Step 6: Final answer
    x = 79,600.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.