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Finding the Third Proportional to 21,816.84 and 50,711.06

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Solution

The third proportional to 21,816.84 and 50,711.06 is: 117,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.84 : 50,711.06 = 50,711.06 : x
  2. Step 2: Convert to fraction form
    21,816.84/50,711.06 = 50,711.06/x
  3. Step 3: Cross multiply
    21,816.84x = 50,711.06 × 50,711.06
  4. Step 4: Simplify right side
    21,816.84x = 2,571,611,859.88
  5. Step 5: Solve for x
    x = 2,571,611,859.88/21,816.84
  6. Step 6: Final answer
    x = 117,872.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.