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Finding the Third Proportional to 18,204.75 and 44,281.69

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Solution

The third proportional to 18,204.75 and 44,281.69 is: 107,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.75 : 44,281.69 = 44,281.69 : x
  2. Step 2: Convert to fraction form
    18,204.75/44,281.69 = 44,281.69/x
  3. Step 3: Cross multiply
    18,204.75x = 44,281.69 × 44,281.69
  4. Step 4: Simplify right side
    18,204.75x = 1,960,867,847.85
  5. Step 5: Solve for x
    x = 1,960,867,847.85/18,204.75
  6. Step 6: Final answer
    x = 107,711.88

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.