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Finding the Third Proportional to 2,523.75 and 3,831.19

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Solution

The third proportional to 2,523.75 and 3,831.19 is: 5,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.75 : 3,831.19 = 3,831.19 : x
  2. Step 2: Convert to fraction form
    2,523.75/3,831.19 = 3,831.19/x
  3. Step 3: Cross multiply
    2,523.75x = 3,831.19 × 3,831.19
  4. Step 4: Simplify right side
    2,523.75x = 14,677,997.66
  5. Step 5: Solve for x
    x = 14,677,997.66/2,523.75
  6. Step 6: Final answer
    x = 5,815.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.