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Finding the Third Proportional to 19,367.25 and 27,273

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Solution

The third proportional to 19,367.25 and 27,273 is: 38,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,367.25 : 27,273 = 27,273 : x
  2. Step 2: Convert to fraction form
    19,367.25/27,273 = 27,273/x
  3. Step 3: Cross multiply
    19,367.25x = 27,273 × 27,273
  4. Step 4: Simplify right side
    19,367.25x = 743,816,529
  5. Step 5: Solve for x
    x = 743,816,529/19,367.25
  6. Step 6: Final answer
    x = 38,405.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.