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Finding the Third Proportional to 36,864 and 79,632

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Solution

The third proportional to 36,864 and 79,632 is: 172,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 79,632 = 79,632 : x
  2. Step 2: Convert to fraction form
    36,864/79,632 = 79,632/x
  3. Step 3: Cross multiply
    36,864x = 79,632 × 79,632
  4. Step 4: Simplify right side
    36,864x = 6,341,255,424
  5. Step 5: Solve for x
    x = 6,341,255,424/36,864
  6. Step 6: Final answer
    x = 172,017.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.