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Finding the Third Proportional to 27,036 and 43,052

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Solution

The third proportional to 27,036 and 43,052 is: 68,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 43,052 = 43,052 : x
  2. Step 2: Convert to fraction form
    27,036/43,052 = 43,052/x
  3. Step 3: Cross multiply
    27,036x = 43,052 × 43,052
  4. Step 4: Simplify right side
    27,036x = 1,853,474,704
  5. Step 5: Solve for x
    x = 1,853,474,704/27,036
  6. Step 6: Final answer
    x = 68,555.80

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Why These Related Problems?

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