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Finding the Third Proportional to 36,867 and 55,605

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Solution

The third proportional to 36,867 and 55,605 is: 83,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867 : 55,605 = 55,605 : x
  2. Step 2: Convert to fraction form
    36,867/55,605 = 55,605/x
  3. Step 3: Cross multiply
    36,867x = 55,605 × 55,605
  4. Step 4: Simplify right side
    36,867x = 3,091,916,025
  5. Step 5: Solve for x
    x = 3,091,916,025/36,867
  6. Step 6: Final answer
    x = 83,866.76

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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.