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Finding the Third Proportional to 2,831.06 and 6,039.42

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Solution

The third proportional to 2,831.06 and 6,039.42 is: 12,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.06 : 6,039.42 = 6,039.42 : x
  2. Step 2: Convert to fraction form
    2,831.06/6,039.42 = 6,039.42/x
  3. Step 3: Cross multiply
    2,831.06x = 6,039.42 × 6,039.42
  4. Step 4: Simplify right side
    2,831.06x = 36,474,616.58
  5. Step 5: Solve for x
    x = 36,474,616.58/2,831.06
  6. Step 6: Final answer
    x = 12,883.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.