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Finding the Third Proportional to 36,920 and 86,674

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Solution

The third proportional to 36,920 and 86,674 is: 203,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920 : 86,674 = 86,674 : x
  2. Step 2: Convert to fraction form
    36,920/86,674 = 86,674/x
  3. Step 3: Cross multiply
    36,920x = 86,674 × 86,674
  4. Step 4: Simplify right side
    36,920x = 7,512,382,276
  5. Step 5: Solve for x
    x = 7,512,382,276/36,920
  6. Step 6: Final answer
    x = 203,477.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.