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Finding the Third Proportional to 36,340 and 77,857

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Solution

The third proportional to 36,340 and 77,857 is: 166,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340 : 77,857 = 77,857 : x
  2. Step 2: Convert to fraction form
    36,340/77,857 = 77,857/x
  3. Step 3: Cross multiply
    36,340x = 77,857 × 77,857
  4. Step 4: Simplify right side
    36,340x = 6,061,712,449
  5. Step 5: Solve for x
    x = 6,061,712,449/36,340
  6. Step 6: Final answer
    x = 166,805.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.