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Finding the Third Proportional to 16,284 and 33,672

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Solution

The third proportional to 16,284 and 33,672 is: 69,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 33,672 = 33,672 : x
  2. Step 2: Convert to fraction form
    16,284/33,672 = 33,672/x
  3. Step 3: Cross multiply
    16,284x = 33,672 × 33,672
  4. Step 4: Simplify right side
    16,284x = 1,133,803,584
  5. Step 5: Solve for x
    x = 1,133,803,584/16,284
  6. Step 6: Final answer
    x = 69,626.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.