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Finding the Third Proportional to 36,321 and 55,538

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Solution

The third proportional to 36,321 and 55,538 is: 84,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,321 : 55,538 = 55,538 : x
  2. Step 2: Convert to fraction form
    36,321/55,538 = 55,538/x
  3. Step 3: Cross multiply
    36,321x = 55,538 × 55,538
  4. Step 4: Simplify right side
    36,321x = 3,084,469,444
  5. Step 5: Solve for x
    x = 3,084,469,444/36,321
  6. Step 6: Final answer
    x = 84,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.