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Finding the Third Proportional to 18,561.38 and 37,770.75

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Solution

The third proportional to 18,561.38 and 37,770.75 is: 76,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.38 : 37,770.75 = 37,770.75 : x
  2. Step 2: Convert to fraction form
    18,561.38/37,770.75 = 37,770.75/x
  3. Step 3: Cross multiply
    18,561.38x = 37,770.75 × 37,770.75
  4. Step 4: Simplify right side
    18,561.38x = 1,426,629,555.56
  5. Step 5: Solve for x
    x = 1,426,629,555.56/18,561.38
  6. Step 6: Final answer
    x = 76,860.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.