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Finding the Third Proportional to 18,361.69 and 24,406.31

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Solution

The third proportional to 18,361.69 and 24,406.31 is: 32,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.69 : 24,406.31 = 24,406.31 : x
  2. Step 2: Convert to fraction form
    18,361.69/24,406.31 = 24,406.31/x
  3. Step 3: Cross multiply
    18,361.69x = 24,406.31 × 24,406.31
  4. Step 4: Simplify right side
    18,361.69x = 595,668,089.85
  5. Step 5: Solve for x
    x = 595,668,089.85/18,361.69
  6. Step 6: Final answer
    x = 32,440.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.