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Finding the Third Proportional to 36,864 and 79,197.75

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Solution

The third proportional to 36,864 and 79,197.75 is: 170,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 79,197.75 = 79,197.75 : x
  2. Step 2: Convert to fraction form
    36,864/79,197.75 = 79,197.75/x
  3. Step 3: Cross multiply
    36,864x = 79,197.75 × 79,197.75
  4. Step 4: Simplify right side
    36,864x = 6,272,283,605.06
  5. Step 5: Solve for x
    x = 6,272,283,605.06/36,864
  6. Step 6: Final answer
    x = 170,146.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.