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Finding the Third Proportional to 9,481.69 and 20,785.88

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Solution

The third proportional to 9,481.69 and 20,785.88 is: 45,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.69 : 20,785.88 = 20,785.88 : x
  2. Step 2: Convert to fraction form
    9,481.69/20,785.88 = 20,785.88/x
  3. Step 3: Cross multiply
    9,481.69x = 20,785.88 × 20,785.88
  4. Step 4: Simplify right side
    9,481.69x = 432,052,599.52
  5. Step 5: Solve for x
    x = 432,052,599.52/9,481.69
  6. Step 6: Final answer
    x = 45,567.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.