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Finding the Third Proportional to 17,980 and 36,674

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Solution

The third proportional to 17,980 and 36,674 is: 74,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980 : 36,674 = 36,674 : x
  2. Step 2: Convert to fraction form
    17,980/36,674 = 36,674/x
  3. Step 3: Cross multiply
    17,980x = 36,674 × 36,674
  4. Step 4: Simplify right side
    17,980x = 1,344,982,276
  5. Step 5: Solve for x
    x = 1,344,982,276/17,980
  6. Step 6: Final answer
    x = 74,804.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.