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Finding the Third Proportional to 15,797 and 33,406

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Solution

The third proportional to 15,797 and 33,406 is: 70,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797 : 33,406 = 33,406 : x
  2. Step 2: Convert to fraction form
    15,797/33,406 = 33,406/x
  3. Step 3: Cross multiply
    15,797x = 33,406 × 33,406
  4. Step 4: Simplify right side
    15,797x = 1,115,960,836
  5. Step 5: Solve for x
    x = 1,115,960,836/15,797
  6. Step 6: Final answer
    x = 70,643.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.