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Finding the Third Proportional to 36,358 and 54,857

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Solution

The third proportional to 36,358 and 54,857 is: 82,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,358 : 54,857 = 54,857 : x
  2. Step 2: Convert to fraction form
    36,358/54,857 = 54,857/x
  3. Step 3: Cross multiply
    36,358x = 54,857 × 54,857
  4. Step 4: Simplify right side
    36,358x = 3,009,290,449
  5. Step 5: Solve for x
    x = 3,009,290,449/36,358
  6. Step 6: Final answer
    x = 82,768.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.