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Finding the Third Proportional to 36,924 and 78,682

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Solution

The third proportional to 36,924 and 78,682 is: 167,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924 : 78,682 = 78,682 : x
  2. Step 2: Convert to fraction form
    36,924/78,682 = 78,682/x
  3. Step 3: Cross multiply
    36,924x = 78,682 × 78,682
  4. Step 4: Simplify right side
    36,924x = 6,190,857,124
  5. Step 5: Solve for x
    x = 6,190,857,124/36,924
  6. Step 6: Final answer
    x = 167,664.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.