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Finding the Third Proportional to 3,206 and 4,749

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Solution

The third proportional to 3,206 and 4,749 is: 7,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 4,749 = 4,749 : x
  2. Step 2: Convert to fraction form
    3,206/4,749 = 4,749/x
  3. Step 3: Cross multiply
    3,206x = 4,749 × 4,749
  4. Step 4: Simplify right side
    3,206x = 22,553,001
  5. Step 5: Solve for x
    x = 22,553,001/3,206
  6. Step 6: Final answer
    x = 7,034.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.