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Finding the Third Proportional to 4,638 and 10,749

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Solution

The third proportional to 4,638 and 10,749 is: 24,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 10,749 = 10,749 : x
  2. Step 2: Convert to fraction form
    4,638/10,749 = 10,749/x
  3. Step 3: Cross multiply
    4,638x = 10,749 × 10,749
  4. Step 4: Simplify right side
    4,638x = 115,541,001
  5. Step 5: Solve for x
    x = 115,541,001/4,638
  6. Step 6: Final answer
    x = 24,911.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.