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Finding the Third Proportional to 15,966 and 33,951

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Solution

The third proportional to 15,966 and 33,951 is: 72,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 33,951 = 33,951 : x
  2. Step 2: Convert to fraction form
    15,966/33,951 = 33,951/x
  3. Step 3: Cross multiply
    15,966x = 33,951 × 33,951
  4. Step 4: Simplify right side
    15,966x = 1,152,670,401
  5. Step 5: Solve for x
    x = 1,152,670,401/15,966
  6. Step 6: Final answer
    x = 72,195.32

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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.