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Finding the Third Proportional to 16,228 and 33,260

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Solution

The third proportional to 16,228 and 33,260 is: 68,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228 : 33,260 = 33,260 : x
  2. Step 2: Convert to fraction form
    16,228/33,260 = 33,260/x
  3. Step 3: Cross multiply
    16,228x = 33,260 × 33,260
  4. Step 4: Simplify right side
    16,228x = 1,106,227,600
  5. Step 5: Solve for x
    x = 1,106,227,600/16,228
  6. Step 6: Final answer
    x = 68,167.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.