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Finding the Third Proportional to 12,771 and 19,174.13

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Solution

The third proportional to 12,771 and 19,174.13 is: 28,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 19,174.13 = 19,174.13 : x
  2. Step 2: Convert to fraction form
    12,771/19,174.13 = 19,174.13/x
  3. Step 3: Cross multiply
    12,771x = 19,174.13 × 19,174.13
  4. Step 4: Simplify right side
    12,771x = 367,647,069.52
  5. Step 5: Solve for x
    x = 367,647,069.52/12,771
  6. Step 6: Final answer
    x = 28,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.