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Finding the Third Proportional to 2,540.25 and 3,831.75

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Solution

The third proportional to 2,540.25 and 3,831.75 is: 5,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.25 : 3,831.75 = 3,831.75 : x
  2. Step 2: Convert to fraction form
    2,540.25/3,831.75 = 3,831.75/x
  3. Step 3: Cross multiply
    2,540.25x = 3,831.75 × 3,831.75
  4. Step 4: Simplify right side
    2,540.25x = 14,682,308.06
  5. Step 5: Solve for x
    x = 14,682,308.06/2,540.25
  6. Step 6: Final answer
    x = 5,779.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.