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Finding the Third Proportional to 17,619.19 and 27,269.44

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Solution

The third proportional to 17,619.19 and 27,269.44 is: 42,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.19 : 27,269.44 = 27,269.44 : x
  2. Step 2: Convert to fraction form
    17,619.19/27,269.44 = 27,269.44/x
  3. Step 3: Cross multiply
    17,619.19x = 27,269.44 × 27,269.44
  4. Step 4: Simplify right side
    17,619.19x = 743,622,221.57
  5. Step 5: Solve for x
    x = 743,622,221.57/17,619.19
  6. Step 6: Final answer
    x = 42,205.25

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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.