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Finding the Third Proportional to 36,891 and 55,278

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Solution

The third proportional to 36,891 and 55,278 is: 82,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,891 : 55,278 = 55,278 : x
  2. Step 2: Convert to fraction form
    36,891/55,278 = 55,278/x
  3. Step 3: Cross multiply
    36,891x = 55,278 × 55,278
  4. Step 4: Simplify right side
    36,891x = 3,055,657,284
  5. Step 5: Solve for x
    x = 3,055,657,284/36,891
  6. Step 6: Final answer
    x = 82,829.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.