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Finding the Third Proportional to 16,227.84 and 21,816.84

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Solution

The third proportional to 16,227.84 and 21,816.84 is: 29,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.84 : 21,816.84 = 21,816.84 : x
  2. Step 2: Convert to fraction form
    16,227.84/21,816.84 = 21,816.84/x
  3. Step 3: Cross multiply
    16,227.84x = 21,816.84 × 21,816.84
  4. Step 4: Simplify right side
    16,227.84x = 475,974,671.21
  5. Step 5: Solve for x
    x = 475,974,671.21/16,227.84
  6. Step 6: Final answer
    x = 29,330.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.