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Finding the Third Proportional to 11,644 and 18,052

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Solution

The third proportional to 11,644 and 18,052 is: 27,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 18,052 = 18,052 : x
  2. Step 2: Convert to fraction form
    11,644/18,052 = 18,052/x
  3. Step 3: Cross multiply
    11,644x = 18,052 × 18,052
  4. Step 4: Simplify right side
    11,644x = 325,874,704
  5. Step 5: Solve for x
    x = 325,874,704/11,644
  6. Step 6: Final answer
    x = 27,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.