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Finding the Third Proportional to 16,280 and 33,796

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Solution

The third proportional to 16,280 and 33,796 is: 70,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280 : 33,796 = 33,796 : x
  2. Step 2: Convert to fraction form
    16,280/33,796 = 33,796/x
  3. Step 3: Cross multiply
    16,280x = 33,796 × 33,796
  4. Step 4: Simplify right side
    16,280x = 1,142,169,616
  5. Step 5: Solve for x
    x = 1,142,169,616/16,280
  6. Step 6: Final answer
    x = 70,157.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.