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Finding the Third Proportional to 3,831.75 and 8,129.25

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Solution

The third proportional to 3,831.75 and 8,129.25 is: 17,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 8,129.25 = 8,129.25 : x
  2. Step 2: Convert to fraction form
    3,831.75/8,129.25 = 8,129.25/x
  3. Step 3: Cross multiply
    3,831.75x = 8,129.25 × 8,129.25
  4. Step 4: Simplify right side
    3,831.75x = 66,084,705.56
  5. Step 5: Solve for x
    x = 66,084,705.56/3,831.75
  6. Step 6: Final answer
    x = 17,246.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.