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Finding the Third Proportional to 21,831.75 and 33,152.63

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Solution

The third proportional to 21,831.75 and 33,152.63 is: 50,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.75 : 33,152.63 = 33,152.63 : x
  2. Step 2: Convert to fraction form
    21,831.75/33,152.63 = 33,152.63/x
  3. Step 3: Cross multiply
    21,831.75x = 33,152.63 × 33,152.63
  4. Step 4: Simplify right side
    21,831.75x = 1,099,096,544.39
  5. Step 5: Solve for x
    x = 1,099,096,544.39/21,831.75
  6. Step 6: Final answer
    x = 50,343.95

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