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Finding the Third Proportional to 12,794 and 19,313

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Solution

The third proportional to 12,794 and 19,313 is: 29,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 19,313 = 19,313 : x
  2. Step 2: Convert to fraction form
    12,794/19,313 = 19,313/x
  3. Step 3: Cross multiply
    12,794x = 19,313 × 19,313
  4. Step 4: Simplify right side
    12,794x = 372,991,969
  5. Step 5: Solve for x
    x = 372,991,969/12,794
  6. Step 6: Final answer
    x = 29,153.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.