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Finding the Third Proportional to 2,831.63 and 5,739.19

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Solution

The third proportional to 2,831.63 and 5,739.19 is: 11,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.63 : 5,739.19 = 5,739.19 : x
  2. Step 2: Convert to fraction form
    2,831.63/5,739.19 = 5,739.19/x
  3. Step 3: Cross multiply
    2,831.63x = 5,739.19 × 5,739.19
  4. Step 4: Simplify right side
    2,831.63x = 32,938,273.16
  5. Step 5: Solve for x
    x = 32,938,273.16/2,831.63
  6. Step 6: Final answer
    x = 11,632.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.