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Finding the Third Proportional to 36,613.50 and 54,920.25

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Solution

The third proportional to 36,613.50 and 54,920.25 is: 82,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,613.50 : 54,920.25 = 54,920.25 : x
  2. Step 2: Convert to fraction form
    36,613.50/54,920.25 = 54,920.25/x
  3. Step 3: Cross multiply
    36,613.50x = 54,920.25 × 54,920.25
  4. Step 4: Simplify right side
    36,613.50x = 3,016,233,860.06
  5. Step 5: Solve for x
    x = 3,016,233,860.06/36,613.50
  6. Step 6: Final answer
    x = 82,380.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.