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Finding the Third Proportional to 9,879.47 and 20,662.59

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Solution

The third proportional to 9,879.47 and 20,662.59 is: 43,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.47 : 20,662.59 = 20,662.59 : x
  2. Step 2: Convert to fraction form
    9,879.47/20,662.59 = 20,662.59/x
  3. Step 3: Cross multiply
    9,879.47x = 20,662.59 × 20,662.59
  4. Step 4: Simplify right side
    9,879.47x = 426,942,780.48
  5. Step 5: Solve for x
    x = 426,942,780.48/9,879.47
  6. Step 6: Final answer
    x = 43,215.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.