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Finding the Third Proportional to 6,205.50 and 13,638

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Solution

The third proportional to 6,205.50 and 13,638 is: 29,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.50 : 13,638 = 13,638 : x
  2. Step 2: Convert to fraction form
    6,205.50/13,638 = 13,638/x
  3. Step 3: Cross multiply
    6,205.50x = 13,638 × 13,638
  4. Step 4: Simplify right side
    6,205.50x = 185,995,044
  5. Step 5: Solve for x
    x = 185,995,044/6,205.50
  6. Step 6: Final answer
    x = 29,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.