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Finding the Third Proportional to 36,504 and 58,036

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Solution

The third proportional to 36,504 and 58,036 is: 92,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,504 : 58,036 = 58,036 : x
  2. Step 2: Convert to fraction form
    36,504/58,036 = 58,036/x
  3. Step 3: Cross multiply
    36,504x = 58,036 × 58,036
  4. Step 4: Simplify right side
    36,504x = 3,368,177,296
  5. Step 5: Solve for x
    x = 3,368,177,296/36,504
  6. Step 6: Final answer
    x = 92,268.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.