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Finding the Third Proportional to 11,638 and 18,780

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Solution

The third proportional to 11,638 and 18,780 is: 30,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638 : 18,780 = 18,780 : x
  2. Step 2: Convert to fraction form
    11,638/18,780 = 18,780/x
  3. Step 3: Cross multiply
    11,638x = 18,780 × 18,780
  4. Step 4: Simplify right side
    11,638x = 352,688,400
  5. Step 5: Solve for x
    x = 352,688,400/11,638
  6. Step 6: Final answer
    x = 30,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.