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Finding the Third Proportional to 18,589.50 and 40,596.19

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Solution

The third proportional to 18,589.50 and 40,596.19 is: 88,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.50 : 40,596.19 = 40,596.19 : x
  2. Step 2: Convert to fraction form
    18,589.50/40,596.19 = 40,596.19/x
  3. Step 3: Cross multiply
    18,589.50x = 40,596.19 × 40,596.19
  4. Step 4: Simplify right side
    18,589.50x = 1,648,050,439.54
  5. Step 5: Solve for x
    x = 1,648,050,439.54/18,589.50
  6. Step 6: Final answer
    x = 88,654.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.