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Finding the Third Proportional to 19,839.94 and 27,193.22

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Solution

The third proportional to 19,839.94 and 27,193.22 is: 37,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.94 : 27,193.22 = 27,193.22 : x
  2. Step 2: Convert to fraction form
    19,839.94/27,193.22 = 27,193.22/x
  3. Step 3: Cross multiply
    19,839.94x = 27,193.22 × 27,193.22
  4. Step 4: Simplify right side
    19,839.94x = 739,471,145.99
  5. Step 5: Solve for x
    x = 739,471,145.99/19,839.94
  6. Step 6: Final answer
    x = 37,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.