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Finding the Third Proportional to 4,179.09 and 9,809.86

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Solution

The third proportional to 4,179.09 and 9,809.86 is: 23,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.09 : 9,809.86 = 9,809.86 : x
  2. Step 2: Convert to fraction form
    4,179.09/9,809.86 = 9,809.86/x
  3. Step 3: Cross multiply
    4,179.09x = 9,809.86 × 9,809.86
  4. Step 4: Simplify right side
    4,179.09x = 96,233,340.96
  5. Step 5: Solve for x
    x = 96,233,340.96/4,179.09
  6. Step 6: Final answer
    x = 23,027.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.