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Finding the Third Proportional to 15,836 and 33,790

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Solution

The third proportional to 15,836 and 33,790 is: 72,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836 : 33,790 = 33,790 : x
  2. Step 2: Convert to fraction form
    15,836/33,790 = 33,790/x
  3. Step 3: Cross multiply
    15,836x = 33,790 × 33,790
  4. Step 4: Simplify right side
    15,836x = 1,141,764,100
  5. Step 5: Solve for x
    x = 1,141,764,100/15,836
  6. Step 6: Final answer
    x = 72,099.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.