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Finding the Third Proportional to 9,542.44 and 20,497.88

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Solution

The third proportional to 9,542.44 and 20,497.88 is: 44,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.44 : 20,497.88 = 20,497.88 : x
  2. Step 2: Convert to fraction form
    9,542.44/20,497.88 = 20,497.88/x
  3. Step 3: Cross multiply
    9,542.44x = 20,497.88 × 20,497.88
  4. Step 4: Simplify right side
    9,542.44x = 420,162,879.52
  5. Step 5: Solve for x
    x = 420,162,879.52/9,542.44
  6. Step 6: Final answer
    x = 44,030.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.