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Finding the Third Proportional to 36,396 and 55,251

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Solution

The third proportional to 36,396 and 55,251 is: 83,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,396 : 55,251 = 55,251 : x
  2. Step 2: Convert to fraction form
    36,396/55,251 = 55,251/x
  3. Step 3: Cross multiply
    36,396x = 55,251 × 55,251
  4. Step 4: Simplify right side
    36,396x = 3,052,673,001
  5. Step 5: Solve for x
    x = 3,052,673,001/36,396
  6. Step 6: Final answer
    x = 83,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.