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Finding the Third Proportional to 36,452 and 55,167

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Solution

The third proportional to 36,452 and 55,167 is: 83,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,452 : 55,167 = 55,167 : x
  2. Step 2: Convert to fraction form
    36,452/55,167 = 55,167/x
  3. Step 3: Cross multiply
    36,452x = 55,167 × 55,167
  4. Step 4: Simplify right side
    36,452x = 3,043,397,889
  5. Step 5: Solve for x
    x = 3,043,397,889/36,452
  6. Step 6: Final answer
    x = 83,490.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.