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Finding the Third Proportional to 36,578.25 and 78,613.88

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Solution

The third proportional to 36,578.25 and 78,613.88 is: 168,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.25 : 78,613.88 = 78,613.88 : x
  2. Step 2: Convert to fraction form
    36,578.25/78,613.88 = 78,613.88/x
  3. Step 3: Cross multiply
    36,578.25x = 78,613.88 × 78,613.88
  4. Step 4: Simplify right side
    36,578.25x = 6,180,141,342.52
  5. Step 5: Solve for x
    x = 6,180,141,342.52/36,578.25
  6. Step 6: Final answer
    x = 168,956.73

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