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Finding the Third Proportional to 7,804 and 18,638

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Solution

The third proportional to 7,804 and 18,638 is: 44,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 18,638 = 18,638 : x
  2. Step 2: Convert to fraction form
    7,804/18,638 = 18,638/x
  3. Step 3: Cross multiply
    7,804x = 18,638 × 18,638
  4. Step 4: Simplify right side
    7,804x = 347,375,044
  5. Step 5: Solve for x
    x = 347,375,044/7,804
  6. Step 6: Final answer
    x = 44,512.44

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.