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Finding the Third Proportional to 36,456 and 55,173

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Solution

The third proportional to 36,456 and 55,173 is: 83,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456 : 55,173 = 55,173 : x
  2. Step 2: Convert to fraction form
    36,456/55,173 = 55,173/x
  3. Step 3: Cross multiply
    36,456x = 55,173 × 55,173
  4. Step 4: Simplify right side
    36,456x = 3,044,059,929
  5. Step 5: Solve for x
    x = 3,044,059,929/36,456
  6. Step 6: Final answer
    x = 83,499.56

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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.