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Finding the Third Proportional to 3,831.75 and 8,049.38

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Solution

The third proportional to 3,831.75 and 8,049.38 is: 16,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 8,049.38 = 8,049.38 : x
  2. Step 2: Convert to fraction form
    3,831.75/8,049.38 = 8,049.38/x
  3. Step 3: Cross multiply
    3,831.75x = 8,049.38 × 8,049.38
  4. Step 4: Simplify right side
    3,831.75x = 64,792,437.89
  5. Step 5: Solve for x
    x = 64,792,437.89/3,831.75
  6. Step 6: Final answer
    x = 16,909.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.