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Finding the Third Proportional to 19,817.25 and 27,174.38

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Solution

The third proportional to 19,817.25 and 27,174.38 is: 37,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.25 : 27,174.38 = 27,174.38 : x
  2. Step 2: Convert to fraction form
    19,817.25/27,174.38 = 27,174.38/x
  3. Step 3: Cross multiply
    19,817.25x = 27,174.38 × 27,174.38
  4. Step 4: Simplify right side
    19,817.25x = 738,446,656.64
  5. Step 5: Solve for x
    x = 738,446,656.64/19,817.25
  6. Step 6: Final answer
    x = 37,262.82

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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.