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Finding the Third Proportional to 3,831.75 and 4,322.25

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Solution

The third proportional to 3,831.75 and 4,322.25 is: 4,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 4,322.25 = 4,322.25 : x
  2. Step 2: Convert to fraction form
    3,831.75/4,322.25 = 4,322.25/x
  3. Step 3: Cross multiply
    3,831.75x = 4,322.25 × 4,322.25
  4. Step 4: Simplify right side
    3,831.75x = 18,681,845.06
  5. Step 5: Solve for x
    x = 18,681,845.06/3,831.75
  6. Step 6: Final answer
    x = 4,875.54

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.