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Finding the Third Proportional to 12,137 and 18,648

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Solution

The third proportional to 12,137 and 18,648 is: 28,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 18,648 = 18,648 : x
  2. Step 2: Convert to fraction form
    12,137/18,648 = 18,648/x
  3. Step 3: Cross multiply
    12,137x = 18,648 × 18,648
  4. Step 4: Simplify right side
    12,137x = 347,747,904
  5. Step 5: Solve for x
    x = 347,747,904/12,137
  6. Step 6: Final answer
    x = 28,651.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.