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Finding the Third Proportional to 4,796.72 and 9,831.09

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Solution

The third proportional to 4,796.72 and 9,831.09 is: 20,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.72 : 9,831.09 = 9,831.09 : x
  2. Step 2: Convert to fraction form
    4,796.72/9,831.09 = 9,831.09/x
  3. Step 3: Cross multiply
    4,796.72x = 9,831.09 × 9,831.09
  4. Step 4: Simplify right side
    4,796.72x = 96,650,404.32
  5. Step 5: Solve for x
    x = 96,650,404.32/4,796.72
  6. Step 6: Final answer
    x = 20,149.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.