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Finding the Third Proportional to 17,446 and 27,052

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Solution

The third proportional to 17,446 and 27,052 is: 41,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446 : 27,052 = 27,052 : x
  2. Step 2: Convert to fraction form
    17,446/27,052 = 27,052/x
  3. Step 3: Cross multiply
    17,446x = 27,052 × 27,052
  4. Step 4: Simplify right side
    17,446x = 731,810,704
  5. Step 5: Solve for x
    x = 731,810,704/17,446
  6. Step 6: Final answer
    x = 41,947.19

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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.