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Finding the Third Proportional to 3,831.68 and 5,858.79

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Solution

The third proportional to 3,831.68 and 5,858.79 is: 8,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.68 : 5,858.79 = 5,858.79 : x
  2. Step 2: Convert to fraction form
    3,831.68/5,858.79 = 5,858.79/x
  3. Step 3: Cross multiply
    3,831.68x = 5,858.79 × 5,858.79
  4. Step 4: Simplify right side
    3,831.68x = 34,325,409.28
  5. Step 5: Solve for x
    x = 34,325,409.28/3,831.68
  6. Step 6: Final answer
    x = 8,958.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.