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Finding the Third Proportional to 3,243.75 and 6,831.75

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Solution

The third proportional to 3,243.75 and 6,831.75 is: 14,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.75 : 6,831.75 = 6,831.75 : x
  2. Step 2: Convert to fraction form
    3,243.75/6,831.75 = 6,831.75/x
  3. Step 3: Cross multiply
    3,243.75x = 6,831.75 × 6,831.75
  4. Step 4: Simplify right side
    3,243.75x = 46,672,808.06
  5. Step 5: Solve for x
    x = 46,672,808.06/3,243.75
  6. Step 6: Final answer
    x = 14,388.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.