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Finding the Third Proportional to 15,767 and 33,857

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Solution

The third proportional to 15,767 and 33,857 is: 72,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767 : 33,857 = 33,857 : x
  2. Step 2: Convert to fraction form
    15,767/33,857 = 33,857/x
  3. Step 3: Cross multiply
    15,767x = 33,857 × 33,857
  4. Step 4: Simplify right side
    15,767x = 1,146,296,449
  5. Step 5: Solve for x
    x = 1,146,296,449/15,767
  6. Step 6: Final answer
    x = 72,702.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.