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Finding the Third Proportional to 36,641 and 55,269

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Solution

The third proportional to 36,641 and 55,269 is: 83,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641 : 55,269 = 55,269 : x
  2. Step 2: Convert to fraction form
    36,641/55,269 = 55,269/x
  3. Step 3: Cross multiply
    36,641x = 55,269 × 55,269
  4. Step 4: Simplify right side
    36,641x = 3,054,662,361
  5. Step 5: Solve for x
    x = 3,054,662,361/36,641
  6. Step 6: Final answer
    x = 83,367.33

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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.