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Finding the Third Proportional to 12,838 and 27,612

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Solution

The third proportional to 12,838 and 27,612 is: 59,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 27,612 = 27,612 : x
  2. Step 2: Convert to fraction form
    12,838/27,612 = 27,612/x
  3. Step 3: Cross multiply
    12,838x = 27,612 × 27,612
  4. Step 4: Simplify right side
    12,838x = 762,422,544
  5. Step 5: Solve for x
    x = 762,422,544/12,838
  6. Step 6: Final answer
    x = 59,387.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.