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Finding the Third Proportional to 15,823 and 33,691

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Solution

The third proportional to 15,823 and 33,691 is: 71,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823 : 33,691 = 33,691 : x
  2. Step 2: Convert to fraction form
    15,823/33,691 = 33,691/x
  3. Step 3: Cross multiply
    15,823x = 33,691 × 33,691
  4. Step 4: Simplify right side
    15,823x = 1,135,083,481
  5. Step 5: Solve for x
    x = 1,135,083,481/15,823
  6. Step 6: Final answer
    x = 71,736.30

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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.