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Finding the Third Proportional to 35,607 and 76,857

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Solution

The third proportional to 35,607 and 76,857 is: 165,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,607 : 76,857 = 76,857 : x
  2. Step 2: Convert to fraction form
    35,607/76,857 = 76,857/x
  3. Step 3: Cross multiply
    35,607x = 76,857 × 76,857
  4. Step 4: Simplify right side
    35,607x = 5,906,998,449
  5. Step 5: Solve for x
    x = 5,906,998,449/35,607
  6. Step 6: Final answer
    x = 165,894.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.