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Finding the Third Proportional to 11,733.75 and 18,439.88

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Solution

The third proportional to 11,733.75 and 18,439.88 is: 28,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.75 : 18,439.88 = 18,439.88 : x
  2. Step 2: Convert to fraction form
    11,733.75/18,439.88 = 18,439.88/x
  3. Step 3: Cross multiply
    11,733.75x = 18,439.88 × 18,439.88
  4. Step 4: Simplify right side
    11,733.75x = 340,028,990.02
  5. Step 5: Solve for x
    x = 340,028,990.02/11,733.75
  6. Step 6: Final answer
    x = 28,978.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.