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Finding the Third Proportional to 13,612 and 19,949

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Solution

The third proportional to 13,612 and 19,949 is: 29,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612 : 19,949 = 19,949 : x
  2. Step 2: Convert to fraction form
    13,612/19,949 = 19,949/x
  3. Step 3: Cross multiply
    13,612x = 19,949 × 19,949
  4. Step 4: Simplify right side
    13,612x = 397,962,601
  5. Step 5: Solve for x
    x = 397,962,601/13,612
  6. Step 6: Final answer
    x = 29,236.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.